Solve the system by substitution.x, equals, minus, 6, yx=−6y4, x, plus, 10, y, equals, 144x+10y=14
Question
Solve the system by substitution.x, equals, minus, 6, yx=−6y4, x, plus, 10, y, equals, 144x+10y=14
Solution
The system of equations is:
- x = -6y
- 4x + 10y = 14
Step 1: Solve the first equation for x:
x = -6y
Step 2: Substitute x = -6y from the first equation into the second equation:
4(-6y) + 10y = 14 -24y + 10y = 14 -14y = 14 y = -1
Step 3: Substitute y = -1 into the first equation to solve for x:
x = -6(-1) x = 6
So, the solution to the system of equations is x = 6, y = -1.
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