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# Slove for X and Y Please.

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y=3x+10
3x+2y=16
(Type a ordered pair)

Mar 19, 2021
edited by dadevb124  Mar 19, 2021

#1
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y   =   3x + 10

3x + 2y   =   16

Since  y = 3x + 10  we can replace  y  with  3x + 10

3x + 2(3x + 10)  =  16

Distribute  2  to the terms in parenthesees

3x  +  6x + 20   =   16

Combine  3x  and  6x  to get  9x

9x  +  20   =   16

Subtract  20  from both sides of the equation

9x   =   -4

Divide both sides of the equation by  9

x   =   -4/9

Now that we know  x  we can plug this back into the first equation to find  y

y   =   3x + 10   =   3(-4/9) + 10   =   -4/3 + 10   =   26/3

So the solution to the system of equations is  (-4/9, 26/3)

Mar 19, 2021

#1
0

y   =   3x + 10

3x + 2y   =   16

Since  y = 3x + 10  we can replace  y  with  3x + 10

3x + 2(3x + 10)  =  16

Distribute  2  to the terms in parenthesees

3x  +  6x + 20   =   16

Combine  3x  and  6x  to get  9x

9x  +  20   =   16

Subtract  20  from both sides of the equation

9x   =   -4

Divide both sides of the equation by  9

x   =   -4/9

Now that we know  x  we can plug this back into the first equation to find  y

y   =   3x + 10   =   3(-4/9) + 10   =   -4/3 + 10   =   26/3

So the solution to the system of equations is  (-4/9, 26/3)

hectictar Mar 19, 2021