3x + 2y = 9 x - 4y = 4

(−9,−9)

Equation Form:

x=−9,y=−9

Step-by-step explanation:

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Algebra Examples

Popular Problems Algebra Solve by Substitution 3x-4y=9 , -3x+2y=9

3

x

−

4

y

=

9

,

−

3

x

+

2

y

=

9

Solve for

x

in the first equation.

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x

=

3

+

4

y

3

−

3

x

+

2

y

=

9

Replace all occurrences of

x

in

−

3

x

+

2

y

=

9

with

3

+

4

y

3

.

x

=

3

+

4

y

3

−

3

(

3

+

4

y

3

)

+

2

y

=

9

Simplify

−

3

(

3

+

4

y

3

)

+

2

y

.

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x

=

3

+

4

y

3

−

9

−

2

y

=

9

Solve for

y

in the second equation.

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Move all terms not containing

y

to the right side of the equation.

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x

=

3

+

4

y

3

−

2

y

=

18

Divide each term by

−

2

and simplify.

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x

=

3

+

4

y

3

y

=

−

9

Replace all occurrences of

y

in

x

=

3

+

4

y

3

with

−

9

.

x

=

3

+

4

(

−

9

)

3

y

=

−

9

Simplify

3

+

4

(

−

9

)

3

.

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x

=

−

9

y

=

−

9

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

(

−

9

,

−

9

)

The result can be shown in multiple forms.

Point Form:

(

−

9

,

−

9

)

Equation Form:

x

=

−

9

,

y

=

−

9

image of graph