The solution of the system of equations is [tex]x=\frac{-3}{2}[/tex] , y = 4 ⇒ D
Step-by-step explanation:
To solve the system of equation we can use on of two methods
The system of equation is:
4x + 3y = 6 ⇒ (1)
-4x + 2y = 14 ⇒ (2)
Let us use the elimination method because the coefficients of x in the two equations have same values and different signs, so they eliminate each other
Add equations (1) and (2) to eliminate x
∵ (4x + -4x) + (3y + 2y) = (6 + 14)
∴ 5y = 20
- Divide both sides by 5
∴ y = 4
Substitute the value of y in equations (1) or (2) to find x
We will substitute y in equation (1)
∴ 4x + 3(4) = 6
∴ 4x + 12 = 6
- Subtract 12 from both sides
∴ 4x = -6
- Divide both sides by 4
∴ [tex]x=\frac{-3}{2}[/tex]
The solution of the system of equations is [tex]x=\frac{-3}{2}[/tex] , y = 4
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
#LearnwithBrainly
