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Verified Answer :

Nirina7

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!!

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.


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