X + 2y = 10

3x + 4y = 8
Which point is the solution to the system of equations?

A) (7, 1.5)
B) (11,-12)
C) (-11, -12)
D) (-12, 11)

(-12,11)

Step-by-step explanation:

x + 2y = 10

3x + 4y = 8

(-2)x + (-2)2y = (-2)10

3x    + 4y       = 8

-2x - 4y = -20

3x  + 4y = 8

Add to eliminate:

x = -12

Substitute x to solve y:

x + 2y = 10

(-12) + 2y = 10

-12 + 2y = 10

2y = 10 + 12

2y = 22

y = 22 ÷ 2

y = 11

Check:

x + 2y = 10

(-12) + 2(11) = 10

-12 + 22 = 10

10 = 10

D)(-12, 11)

x = -12

y = 11

Step-by-step explanation:

x + 2y = 10

3x + 4y = 8

Multiply first equation by -3

-3 × (x + 2y) = 10 ➡ -3x - 6y = -30 now add this to second equation

3x + 4y -3x - 6y = 8 - 30 add/subtract like terms (-3x will eliminate 3x)

-2y = -22 divide both sides by 2 since both are negative it will give out a positive result

y = 11 using this we can find the value for x

x + 2y = 10 replace y with the value we found

x + 2×11 = 10

x + 22 = 10

x = -12

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

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