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.

part b: if the two equations are graphed, at what point will the lines representing the two equations intersect? explain your answer.

Part A

Using substitution method, which means that substitute the value of y from first equation into the second equation, i.e.

7x – 8 = 5x – 2

This implies that;

2x = 6

x = 3

Now putting x = 3 in any equation, because both the equation will give the same value of y,

y = 5(3) – 2

y = 13

or

y = 7(3) – 8

y = 13

Part B

b. astronomers

2nd one in the first row is correct