Solve the simultaneous equations
x + 7y = 15
x + 2y = 5
2 answers:
X + 7y = 15
x + 2y = 5
———————————
x + 7y = 15
(x + 2y = 5) -1
———————————
x + 7y = 15
-x - 2y = -5
———————————
x + 7y = 15
+ -x - 2y = -5
——————
0 + 5y = 10
———————————
5y = 10
— —
5 5
———————————
y = 2
Plug Y into one of the original equations to find x
———————————
x + 2y = 5
———————————
x + 2(2) = 5
———————————
x + 4 = 5
———————————
x + 4 = 5
- 4 | - 4
———————————
x = 5 - 4
———————————
x = 1
———————————
Answer is:
y = 2, x = 1
Or
(1, 2)
Answer:
x=1, y=2
Step-by-step explanation:
x + 7y = 15
x + 2y = 5
Subtract the two equations
x + 7y = 15
-x - 2y =- 5
------------------------
0x +5y = 10
Divide by 5
5y/5 = 10/5
y =2
Now find x
x+2y = 5
x +2(2) = 5
x +4 = 5
Subtract 4 from each side
x-4+4 = 5-4
x = 1
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