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3 years ago

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

Mathematics

2 answers:

Nonamiya [84]3 years ago

6 0

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.

Elina [12.6K]3 years ago

4 0

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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