Answer:
Step-by-step explanation:
Given that
2x+3y=13. Equation 1
x=2+3y. Equation 2
Using substitution method
Substitute x in equation 2 to equation 1
2x+3y=13
2(2+3y)+3y=13
4+6y+3y=13
4+9y=13
9y=13-4
9y=9
y=9/9
y=1.
To get x, substitute y=1 into equation 2
x=2+3y
x=2+3(1)
x=2+3
x=5
Then, x=5 and y=1 is the solution to the simultaneous equation
Answer:
y = 1
x = 5
Step-by-step explanation:
Substitute:
2(2 + 3y) + 3y = 13
Simplify:
4 + 6y + 3y = 13
Combine terms:
4 + 9y = 13
Subtract 4 from each side:
9y = 9
Divide by 9:
y = 1
Substitute:
x = 2 + 3(1)
Simplify:
x = 2 + 3
Combine terms:
x = 5
Check with original equation:
2(5) + 3(1) = 13
Simplify:
10 + 3 = 13
Combine terms:
13 = 13
It works!
