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Math  /  Algebra

Question−6x+3y=−15y=−7\begin{array}{l}-6 x+3 y=-15 \\ y=-7\end{array}

Studdy Solution

STEP 1

1. We are given a system of equations involving two variables, xx and yy.
2. The goal is to find the value of xx that satisfies both equations.

STEP 2

1. Identify the system of equations.
2. Substitute the value of yy from the second equation into the first equation.
3. Solve for xx.

STEP 3

Identify the system of equations. The given system is:
1. −6x+3y=−15-6x + 3y = -15
2. y=−7y = -7

STEP 4

Substitute the value of yy from the second equation into the first equation. Replace yy with −7-7 in the first equation:
−6x+3(−7)=−15-6x + 3(-7) = -15

STEP 5

Solve for xx. Simplify the equation from STEP_2:
−6x−21=−15-6x - 21 = -15
Add 21 to both sides to isolate the term with xx:
−6x=−15+21-6x = -15 + 21 −6x=6-6x = 6
Divide both sides by −6-6 to solve for xx:
x=6−6=−1x = \frac{6}{-6} = -1
The solution is x=−1 x = -1 .

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