How do i find the solution or can you help me find it please
2 answers:
remember, you can do anything to an equation as long as you do it to both sides
we can do a subsitution
y=x+6
y=-7x-10
since y=x+6, we can subsitute x+6 for y in the other equation
y=-7x-10
x+6=-7x-10
add 7x to both sides
8x+6=-10
minus 6 from both sides
8x=-16
divide both sides by 8
x=-16/8=-2
the valu eof x that satisfies both equations is x=-2
y = x + 6
y = -7x - 10
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Solve for x in the first equation. Subtract y and x from both sides.
-x = 6 - y
Divide both sides by -1.
x = -6 + y
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Plug x into the second equation.
y = -7(-6 + y) - 10
Distribute -7 inside the parentheses.
y = 42 - 7y - 10
Combine like terms.
y = 32 - 7y
Add 7y to both sides.
8y = 32
Divide both sides by 8.
y = 4
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Plug 4 for y into the first equation.
4 = x + 6
Subtract 6 from both sides.
x = -2
---
Your answer is -2; x = -2 satisfies both equations.
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