Answer:
b. (-3, -4) and (2, 6)
Step-by-step explanation:
By the transitive property of equality, if y equals thing 1 and y also equals thing 2, then thing1 and thing 2 are also equal. So we will set them equal to each other and factor to solve for the 2 values of x:
[tex]2x+2=x^2+3x-4[/tex]
Get everything on one side of the equals sign, set the whole mess equal to 0, and combine like terms to get:
[tex]0=x^2+x-6[/tex]
Because this is a second degree polynomial, a quadratic to be precise, it has 2 solutions. We need to find those 2 values of x and then use them in either one of the original equations to solve for the y values that go with each x.
Factoring that polynomial above gives you the x values of x = -3 and 2. Sub in -3 first:
y = 2(-3) + 2 and
y = -6 + 2 so
y = -4
Therefore, the coordinate is (-3, -4).
Onto the next x value of 2:
y = 2(2) + 2 and
y = 4 + 2 so
y = 6
Therefore, the coordinate is (2, 6)
