Determine the solution to the system of equations below: y = -3x + 6 and 3y = -2x - 3
1 answer:
Answer:
x = 3
y = -3
Step-by-step explanation:
We have two equations and are asked to solve for x and y.
y = -3x + 6
3y = -2x - 3
Substitute the y in the first equation in the second equation :
3(-3x + 6) = -2x - 3
Distribute :
-9x + 18 = -2x - 3
Solve for x by isolating it :
Subtract 18 from both sides :
-9x = -2x - 21
Add 2x to both sides :
-7x = -21
Divide -7 from both sides :
x = 3
Replace x in the first equation :
y = -3(3) + 6
y = -9 + 6
-9 + 6
y = -3
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