Question

Use the system of equations to answer the question. 2x + 3y = 8 x-y=5

Answer 1

Answer:

x = 23/5

y = -2/5

Step-by-step explanation:

We are given two equations

2x + 3y = 8     eq. 1

x - y = 5         eq. 2

From eq. 2

x - y = 5

x = 5 + y       eq. 3

Substitute eq. 3 into eq. 1

2x + 3y = 8     eq. 1

2(5 + y) + 3y = 8

Simplify the equation

10 + 2y + 3y = 8

10 + 5y = 8

5y = 8 - 10

5y = -2

y = -2/5

or

y = -0.4

Substitute the value of y into eq. 3 to get the value of x

x = 5 + y       eq. 3

x = 5 - 2/5

x = 23/5

or

x = 4.6

Therefore, the solution set is

(x, y) = (23/5, -2/5)

This is the point of intersection where these two equations meet.