Question

M is the point of intersection of the lines with equations 3x-3y=-7.5 and x+2y=0.5 Write down the coordinates of M

Answer 1

(-1.5, 1)

Explanation:

3x - 3y = -7.5

x + 2y = 0.5

Use system of equations to eliminate variable (In this case, it'll be substitution.)

x = -2y + 0.5

3x - 3y = -7.5

Substitute the first equation in for x

3(-2y + 0.5) - 3y = -7.5

-6y + 1.5 - 3y = -7.5

-9y + 1.5 = -7.5

-9y = -9

y = 1

Substitute y in for one of the equations to get x

x + 2y = 0.5

x + 2 = 0.5

x = -1.5

(-1.5, 1)