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Gianna Camacho
Mathematics
27 February, 03:16
Solve the system of equations
6x+7y = 5 2x-3y = 7
+1
Answers (
1
)
Miracle Brock
27 February, 03:37
0
The solution is (2, - 1)
Step-by-step explanation:
* You have two ways to solve the system of equations
1. Elimination method:
By making the coefficients of one of the two variables equal in the 2
equations in magnitude and different in sign to eliminate it and find the
other variable
2. Substitution method:
By finding one of the two variables in terms of the other in one of the
two equations and substitute this value in the second equation
* Lets solve our system using the elimination method
∵ 6x + 7y = 5 ⇒ (1)
∵ 2x - 3y = 7 ⇒ (2)
- Multiply equation (2) by - 3 to eliminate x
∵ (-3) (2x) - (-3) (3y) = (-3) (7)
∴ - 6x + 9y = - 21 ⇒ (3)
- Add equation (1) and (3)
∴ 7y + 9y = 5 + - 21
∴ 16y = - 16
- Divide each side by 16
∴ y = - 1
- Substitute the value of y in equation (1)
∴ 6x + 7 (-1) = 5
∴ 6x - 7 = 5
- Add 7 to both sides
∴ 6x = 12
- Divide both sides by 6
∴ x = 2
* The solution is (2, - 1)
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