Using substitution y= 5x-8. 4x+3y=33

A system of equations are two or more equations that has to be valid at the same time. It means that the variables of one equation can be substitute in the other equation.

For example we have y=5x−8 and we can substitute this value of y in the other equation

4x+3y=33

4x+3(5x−8)=33 we can solve now for x

4x+15x−24=33

19x=33+24

19x=57

x=5719=3.

y can be obtained from the first equation

y=5x−8

y=5⋅3−8=15−8=7

Then x=3 and y=7.

See below.

Step-by-step explanation:

2x^2 - 12x - 32  = 0

Simplify by dividing by 2:

2(x^2 - 6x - 16) = 0

2(x - 8)(x + 2) = 0

2(x- 8) = 0   so x = 8.

x + 2 = 0 so x = -2.

These 2 values of x mean that the graph of the equation pass through the x axis at the points (-2, 0) and (8, 0).