Question

Solve the system by adding. Drag and drop numbers into the coordinates to complete the ordered pair.

4x + 3y = 3
x − 3y = −18


The solution of the system is (___,____).

HELPPP PLZZ

Answer 1

Answer: x = 4 , y = 6

Explanation:

4 x = 3 y − 2 , 18 = 3 x + y

Solve for y

in the second equation.

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4 x = 3 y − 2 y = 18 − 3 x

Replace all occurrences of

y in 4 x = 3 y − 2

with

18 − 3 x . 4 x = 3 ( 18 − 3 x ) − 2 y = 18 − 3 x

Simplify

3 ( 18 − 3 x ) − 2

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4 x = − 9 x+ 52 y = 18 − 3 x

Move all terms in

4 x = − 9 x + 52

to the left side and simplify.

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13 x − 52 = 0 y = 18 − 3 x

Solve for x

in the first equation.

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x = 4 y = 18 − 3 x

Replace all occurrences of

x in y = 18 − 3 x

with 4 . x = 4 y = 18 − 3 ⋅ 4

Simplify

18− 3 ⋅ 4

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x = 4 y = 6

The solution to the system of equations can be represented as a point.

( 4 , 6 )

The result can be shown in multiple forms.

Point Form:

( 4 , 6 )

Equation Form:

x = 4 , y = 6

Answer 2

(-3,5)

Explanation:

4x + 3y = 3

x − 3y = −18

Solve by addition/Elimination

x = -3

y = 5

So,

The solution of the system is (-3,5).

HELPPP PLZZ (I got you)

Ace