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.
