Question 3
a pair of equations is shown below:
y = 7x − 8
y = 5x − 2
part a: explain how you will solve the pair of equations by substitution or elimination. show all the steps and write the solution. (5 points)
part b: if the two equations are graphed, at what point will the lines representing the two equations intersect? explain your answer. (5 points)

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

5+2x=a

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