Answer:
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)
