Question

Point of Intersect Algebraically

Answer 1

Answer:

(

35

12

,

13

6

)

Step-by-step explanation:

−

2

x

+

8

=

2

x

5

+

1

y

=

x

(

2

5

)

+

1

Move all terms containing

x

to the left side of the equation.

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−

12

x

5

+

8

=

1

y

=

x

(

2

5

)

+

1

Move all terms not containing

x

to the right side of the equation.

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−

12

x

5

=

−

7

y

=

x

(

2

5

)

+

1

Multiply both sides of the equation by

−

5

12

.

−

5

12

⋅

(

−

12

x

5

)

=

−

5

12

⋅

−

7

y

=

x

(

2

5

)

+

1

Simplify both sides of the equation.

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x

=

35

12

y

=

x

(

2

5

)

+

1

Simplify each term.

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x

=

35

12

y

=

2

x

5

+

1

Replace all occurrences of

x

in

y

=

2

x

5

+

1

with

35

12

.

x

=

35

12

y

=

2

(

35

12

)

5

+

1

Simplify

2

(

35

12

)

5

+

1

.

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x

=

35

12

y

=

13

6

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

(

35

12

,

13

6

)