Solve the system by substitution.minus, 2, x, minus, 3, y, equals, minus, 8−2x−3y=−8minus, y, equals, x−y=x
Question
Solve the system by substitution.
Solution
The system of equations is:
-2x - 3y = -8 -y = x
Let's solve it step by step:
Step 1: Solve the second equation for y: -y = x Multiply both sides by -1 to get y on its own: y = -x
Step 2: Substitute y = -x into the first equation: -2x - 3(-x) = -8 This simplifies to: -2x + 3x = -8 Combine like terms: x = -8
Step 3: Substitute x = -8 into the equation y = -x: y = -(-8) So, y = 8
The solution to the system of equations is x = -8 and y = 8.
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Instructions: Solve the following systems using the graphing method.System Ay=x+2𝑦=𝑥+2 and y=−x+8𝑦=−𝑥+8(( Answer 1 Question 8 ,, Answer 2 Question 8 )
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