Answer: {x,y} = {-5,2}
Step-by-step explanation:
Solve equation [2] for the variable y
[2] 10y = -3x + 5
[2] y = -3x/10 + 1/2
Plug this in for variable y in equation [1]
[1] 4x + 15•(-3x/10+1/2) = 10
[1] -x/2 = 5/2
[1] -x = 5
Solve equation [1] for the variable x
[1] x = - 5
By now we know this much :
x = -5
y = -3x/10+1/2
Use the x value to solve for y
y = -(3/10)(-5)+1/2 = 2
So it's {x,y} = {-5,2}
