8x+5y=-13 3x+4y=10 solve

x=−6 and y=7

Step-by-step explanation:

Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)Step: Solve8x+5y=−13for x:

8x+5y=−13

8x+5y+−5y=−13+−5y(Add -5y to both sides)

8x=−5y−13

8x

8

=

−5y−13

8

(Divide both sides by 8)

x=

−5

8

y+

−13

8

Step: Substitute

−5

8

y+

−13

8

forxin3x+4y=10:

3x+4y=10

3(

−5

8

y+

−13

8

)+4y=10

17

8

y+

−39

8

=10(Simplify both sides of the equation)

17

8

y+

−39

8

+

39

8

=10+

39

8

(Add 39/8 to both sides)

17

8

y=

119

8

17

8

y

17

8

=

119

8

17

8

(Divide both sides by 17/8)

y=7

Step: Substitute7foryinx=

−5

8

y+

−13

8

:

x=

−5

8

y+

−13

8

x=

−5

8

(7)+

−13

8

x=−6(Simplify both sides of the equation)

The intersection between these 2 lines are (-6,7)

Source: Desmos Graphing Calculator (look it up its very helpful and gives answers)

where r the answers

step-by-step explanation:

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.