Question

What is the solution of the system of equations? y=-4x+10 y=-2x-6

Answer 1

Answer:

The solution set is (8, -22).

Step-by-step explanation:

In this system of equations, each equation is equal to 'y'.  So, in order to solve for one variable at a time, you can set these two equations equal to each other:  -4x + 10 = -2x - 6.  Using inverse (opposite) operations, we combine like terms and isolate the variable.  Whatever you do to one side of the equation, you do to the other:  -4x + 2x +10 = -2x + 2x  - 6, so -2x + 10 = -6.  Now, subtract 10 from both sides:  -2x + 10 - 10 = -6 - 10, so -2x = -16.  Now, divide both sides by -2:  -2x/2 = -16/2, so x = 8.  To find the value of 'y', you need to plug in the value of x into one of the equations given and solve:  y = (-4)(8) + 10 or -32 + 10, or y = -22.  

Answer 2

Question-

What is the solution of the system of equations? y=-4x+10 y=-2x-6

Answer-

y = -4x + 10

y = -2x - 6

-4x + 10 = -2x - 6

-4x + 2x = -6 - 10

-2x = -16

x = -16/-2

x = 8

y = -4x + 10

y = -4(8) + 10

y = -32 + 10

y = -22

solution is (8,-22)

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