Question

Solve the system by substitution
y=-6x

-2x-7y=40

Answer 1

To solve the system by substitution, substitute the value of y from the first equation into the second equation. Simplify the equation and solve for x. Substitute the value of x back into the first equation to find the value of y.

Step-by-step explanation:

To solve the system by substitution, we will substitute the value of y from the first equation into the second equation.

Given that y = -6x, we can substitute this value into the second equation:

-2x - 7(-6x) = 40

Simplifying the equation:

-2x + 42x = 40

Combining like terms:

40x = 40

Dividing both sides by 40:

x = 1

Now, we can substitute this value of x back into the first equation to find the value of y:

y = -6(1)

y = -6

Therefore, the solution to the system of equations is x = 1 and y = -6.

Answer 2

x=1, y=-6. (1, -6).

Step-by-step explanation:

y=-6x

-2x-7y=40

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-2x-7(-6x)=40

-2x+42x=40

40x=40

x=40/40

x=1

y=-6(1)=-6