Answer:
x= 2, y= 1
Step-by-step explanation:
First label the 2 equations:
3x +7y= 13 -----(1)
5x +2y= 12 -----(2)
Make x or y the subject of formula for one of the equation so that we can substitute its value into the 2nd equation.
Here, I am making y the subject of formula in the 2nd equation.
5x +2y= 12
2y= 12 -5x
[tex]y = 6 - \frac{5}{2} x[/tex] -----(3)
Substitute (3) into (1):
[tex]3x + 7(6 - \frac{5}{2} x) = 13[/tex]
Expand:
[tex]3x + 42 - \frac{35}{2} x = 13[/tex]
Bring constants to one side:
[tex]3x - \frac{35}{2} x = 13 - 42[/tex]
Simplify:
[tex] - \frac{29}{2} x = - 29[/tex]
Multiply by -2 on both sides:
[tex] - 29x = - 58[/tex]
Divide by -29 on both sides:
x=2
Substitute x=2 into (1):
3(2) +7y= 13
7y +6= 13
7y= 13 -6 (-6 on both sides)
7y= 7
y= 7 ÷7
y= 1
