Studdy AI Logo
Math  /  Algebra

Question12. Which point satisfies the equation 2x+3y=82 x+3 y=8 ? B. (2,2)(2,2) C. (−1,3)(-1,3) D. (−2,4)(-2,4)

Studdy Solution

STEP 1

1. We are given the equation 2x+3y=82x + 3y = 8.
2. We need to determine which of the given points satisfies this equation.
3. The points to check are (2,2) (2, 2) , (−1,3) (-1, 3) , and (−2,4) (-2, 4) .

STEP 2

1. Substitute each point into the equation.
2. Check if the equation holds true for each point.
3. Identify the point that satisfies the equation.

STEP 3

Substitute the point (2,2) (2, 2) into the equation 2x+3y=8 2x + 3y = 8 .
2(2)+3(2)=8 2(2) + 3(2) = 8 4+6=8 4 + 6 = 8 10≠8 10 \neq 8
The point (2,2) (2, 2) does not satisfy the equation.

STEP 4

Substitute the point (−1,3) (-1, 3) into the equation 2x+3y=8 2x + 3y = 8 .
2(−1)+3(3)=8 2(-1) + 3(3) = 8 −2+9=8 -2 + 9 = 8 7≠8 7 \neq 8
The point (−1,3) (-1, 3) does not satisfy the equation.

STEP 5

Substitute the point (−2,4) (-2, 4) into the equation 2x+3y=8 2x + 3y = 8 .
2(−2)+3(4)=8 2(-2) + 3(4) = 8 −4+12=8 -4 + 12 = 8 8=8 8 = 8
The point (−2,4) (-2, 4) satisfies the equation.
The point that satisfies the equation is (−2,4) \boxed{(-2, 4)} .

Was this helpful?

Studdy solves anything!

banner

Start learning now

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

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord