Answer : x = 3, y = -4; the equation has two solutions
We are given two systems of equation
y = 2x - 10--------- equation 1
y + 3x = 5 --------- equation 2
We need to find the value of x and y
To find the values of x and y, we will be solving these equations simultaneously using substitution method
Substitute equation 1 into equation 2
2x - 10 + 3x = 5
Collect the like terms
2x + 3x = 5 + 10
5x = 15
Divide both sides by 5
5x/5 = 15/5
x = 15/5
x = 3
To find the y, substitute the value of x = 3 into equation 1
y = 2(3) - 10
y = 6 - 10
y = -4
The value of x = 3 and y = -4 . Hence, the equation have two solutions