Question

Solve the following system of equations by graphing and select the correct answer below:

Answer 1

Answer:

Option A is correct.

x =4 , y = 2

Explanation:

Given the system of equation:

$2x+6y = 20$                   ......[1]

$3x-2y = 8$                       .....[2]

Multiply equation [2] by 3 both sides we get;

$3 \cdot (3x-2y) = 3 \cdot 8$

Using distributive property: $a\cdot (b+c) = a\cdot b+ a\cdot c$

$9x - 6y = 24$                     .....[3]

Add equation [1] and [3], to get eliminate y we get;

$2x+6y+9x-6y= 20+24$

Combine like terms we have;

$11x = 44$

Divide both sides by 11 we get;

$x = 4$

Substitute the value of x =4 in [1] we get;

2(4) + 6y = 20

8 + 6y = 20

Subtract 8 from both sides we have;

6y = 12

Divide both sides by 6 we have;

y = 2

Therefore, the values of x and y are; 4 and 2.

Answer 2

The only answer is x = 4, y = 2, 
2(4) + 6(2) = 20
3(4) _ 2(2) = 8
the graph is so easy, please try!!