Question

Solve the system of equations
-6x+2y=-32
4x+3y=-9

Answer 1

The math club sold slices of pizza(p) At a profit of three dollars each and cans of soda(s) At $2 each to raise money for a trip. They sold 200 items and made a profit of $550. Write the pair of liner equations that model this equations.

The equation to represent the total number of items sold _=200
Equation to represent the total profit_=550

Answer 2

To solve the system of equations, we can use the method of substitution.

1) Solve the first equation for x in terms of y:
-6x + 2y = -32
-6x = -32 - 2y
x = (32 + 2y) / 6
x = (16 + y) / 3

2) Substitute the expression for x in the second equation:
4x + 3y = -9
4((16 + y) / 3) + 3y = -9
(64 + 4y) / 3 + 3y = -9
64 + 4y + 9y = -27
13y = -91
y = -91 / 13
y = -7

3) Substitute the value of y back into the expression for x:
x = (16 + y) / 3
x = (16 - 7) / 3
x = 9 / 3
x = 3

So the solution to the system of equations is x = 3 and y = -7.