Math / Algebra

QuestionQuestion 8 of 18 Step 2 of 2 00:47:44
Consider the following equation. $4 x-3 y=20$
Step 2 of 2: Determine the missing coordinate in the ordered pair $(?, 4)$ so that it will satisfy the given equation. AnswerHow to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts

Studdy Solution

STEP 1

What is this asking? We're given an equation and a y-coordinate, and we need to find the x-coordinate that makes the equation true! Watch out! Make sure to plug the y-value into the correct spot in the equation, and don't mix up your x's and y's!

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's substitute our known y-value, which is $y = 4$ , into the equation $4x - 3y = 20$ .
This is because we're trying to find the x-value that works with this specific y-value!

STEP 4

So, we get $4x - 3 \cdot 4 = 20$ .
See how we just replaced y with 4?

STEP 5

Now, let's simplify! $3 \cdot 4$ is 12, so our equation becomes $4x - 12 = 20$ .

STEP 6

To isolate the term with x, we need to add 12 to both sides of the equation.
Remember, we're trying to get x by itself!
This gives us $4x - 12 + 12 = 20 + 12$ , which simplifies to $4x = 32$ .

STEP 7

Almost there!
Now, we want to find the value of a single x.
Since x is multiplied by 4, we'll divide both sides of the equation by 4.
This is like asking, "If 4 x's equal 32, what does one x equal?"

STEP 8

So, we have $\frac{4x}{4} = \frac{32}{4}$ .
This simplifies to $x = 8$ !
We found our missing x-coordinate!

STEP 9

The missing coordinate is $x = 8$ , so the ordered pair is $(8, 4)$ .

Was this helpful?

QuestionQuestion 8 of 18 Step 2 of 2 00:47:44
Consider the following equation. $4 x-3 y=20$
Step 2 of 2: Determine the missing coordinate in the ordered pair $(?, 4)$ so that it will satisfy the given equation. AnswerHow to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts

Studdy Solution

STEP 1

What is this asking? We're given an equation and a y-coordinate, and we need to find the x-coordinate that makes the equation true! Watch out! Make sure to plug the y-value into the correct spot in the equation, and don't mix up your x's and y's!

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's substitute our known y-value, which is $y = 4$ , into the equation $4x - 3y = 20$ .
This is because we're trying to find the x-value that works with this specific y-value!

STEP 4

So, we get $4x - 3 \cdot 4 = 20$ .
See how we just replaced y with 4?

STEP 5

Now, let's simplify! $3 \cdot 4$ is 12, so our equation becomes $4x - 12 = 20$ .

STEP 6

To isolate the term with x, we need to add 12 to both sides of the equation.
Remember, we're trying to get x by itself!
This gives us $4x - 12 + 12 = 20 + 12$ , which simplifies to $4x = 32$ .

STEP 7

Almost there!
Now, we want to find the value of a single x.
Since x is multiplied by 4, we'll divide both sides of the equation by 4.
This is like asking, "If 4 x's equal 32, what does one x equal?"

STEP 8

So, we have $\frac{4x}{4} = \frac{32}{4}$ .
This simplifies to $x = 8$ !
We found our missing x-coordinate!

STEP 9

The missing coordinate is $x = 8$ , so the ordered pair is $(8, 4)$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

What is this asking? We're given an equation and a *y*-coordinate, and we need to find the *x*-coordinate that makes the equation true! Watch out! Make sure to plug the *y*-value into the correct spot in the equation, and don't mix up your *x*'s and *y*'s!

STEP 2

1. Substitute and Solve

STEP 3

Alright, let's **substitute** our known *y*-value, which is y=4y = 4y=4, into the equation 4x−3y=204x - 3y = 204x−3y=20.This is because we're trying to find the *x*-value that works with this specific *y*-value!

STEP 4

So, we get 4x−3⋅4=204x - 3 \cdot 4 = 204x−3⋅4=20.See how we just **replaced** *y* with **4**?

STEP 5

Now, let's **simplify**! 3⋅43 \cdot 43⋅4 is **12**, so our equation becomes 4x−12=204x - 12 = 204x−12=20.

STEP 6

To **isolate** the term with *x*, we need to **add 12** to both sides of the equation.Remember, we're trying to get *x* by itself!This gives us 4x−12+12=20+124x - 12 + 12 = 20 + 124x−12+12=20+12, which simplifies to 4x=324x = 324x=32.

STEP 7

Almost there!Now, we want to find the value of a *single* *x*.Since *x* is multiplied by **4**, we'll **divide both sides** of the equation by **4**.This is like asking, "If 4 *x*'s equal 32, what does one *x* equal?"

STEP 8

So, we have 4x4=324\frac{4x}{4} = \frac{32}{4}44x​=432​.This simplifies to x=8x = 8x=8!We found our missing *x*-coordinate!

STEP 9

The missing coordinate is x=8x = 8x=8, so the ordered pair is (8,4)(8, 4)(8,4).

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We're given an equation and a y-coordinate, and we need to find the x-coordinate that makes the equation true! Watch out! Make sure to plug the y-value into the correct spot in the equation, and don't mix up your x's and y's!

Alright, let's substitute our known y-value, which is $y = 4$ , into the equation $4x - 3y = 20$ .
This is because we're trying to find the x-value that works with this specific y-value!

So, we get $4x - 3 \cdot 4 = 20$ .
See how we just replaced y with 4?

Now, let's simplify! $3 \cdot 4$ is 12, so our equation becomes $4x - 12 = 20$ .

To isolate the term with x, we need to add 12 to both sides of the equation.
Remember, we're trying to get x by itself!
This gives us $4x - 12 + 12 = 20 + 12$ , which simplifies to $4x = 32$ .

Almost there!
Now, we want to find the value of a single x.
Since x is multiplied by 4, we'll divide both sides of the equation by 4.
This is like asking, "If 4 x's equal 32, what does one x equal?"

So, we have $\frac{4x}{4} = \frac{32}{4}$ .
This simplifies to $x = 8$ !
We found our missing x-coordinate!

The missing coordinate is $x = 8$ , so the ordered pair is $(8, 4)$ .