## 4x + 3y = 6 -4x + 2y = 14 Solve the system of equations. A) x = 1 2 , y = 3 B) x = 3, y = 1 2 C) x = 4, y = – 3 2 D) x = – 3 2 , y = 4

Question

4x + 3y = 6 -4x + 2y = 14 Solve the system of equations. A) x = 1 2 , y = 3 B) x = 3, y = 1 2 C) x = 4, y = – 3 2 D) x = – 3 2 , y = 4

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3 weeks 2021-09-24T05:04:50+00:00 2 Answers 0

yea first guy is right

Step-by-step explanation:

2. The solution of the system of equations is , y = 4 D

Step-by-step explanation:

To solve the system of equation we can use on of two methods

• Elimination method
• Substitution method

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 The solution of the system of equations is , y = 4