Respuesta :
Answer:
(x,y) = (4,1)
Step-by-step explanation:
This is a simultaneous equation
Let;
5x-2y=18 ..... equation 1
3x+3y=15 ..... equation 2
Divide equation 2 by 3
[tex]\frac{3x}{3} + \frac{3y}{3} = \frac{15}{3}[/tex]
x + y = 5 ..... equation 3
multiply equation 3 by 2
2x + 2y = 10 ..... equation 4
Solving equations 1 and 4 simultaneously
5x-2y=18
2x + 2y = 10
Add equation 1 and equation 3
5x + 2x - 2y +2y = 18 + 10
7x = 28
Divide both sides by 7
[tex]\frac{7x}{7} = \frac{28}{7}[/tex]
x = 4
substitute the value of x into equation 3
x + y = 5
4 + y = 5
collect like terms
y = 5 - 4
y = 1
Therefore (x,y) = (4,1)
