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Answered

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Sagot :

AliMay050

Answer:

x=4 y=6

Step-by-step explanation:

y=−1/2x+8;3x+4y=36

Step: Solvey=

−1/2x+8for y:y=−1/2x+8

Step: Substitute

−1/2x+8foryin3x+4y=36:

3x+4y=363x+4(−1/2

x+8)=36

x+32=36(Simplify both sides of the equation)

x+32+−32=36+−32(Add -32 to both sides)

x=4

Step: Substitute4forxiny=

−1/2x+8:y=−1/2x+8

y=−1/2(4)+8

y=6(Simplify both sides of the equation)

Answer:

x=4 and y=6

linandrew41

[tex]3x+4y=36\\y=-\frac{1}{2} x+8\\\\[/tex]

Since we know the value of y in the second equation, let us plug it into the first equation

[tex]3x+4(-\frac{1}{2} x+8) = 36\\3x-2x+32 = 36\\x = 4[/tex]

Now let us plug our known value of x into the second equation, [tex]y=-\frac{1}{2} x+8[/tex]

[tex]y=-\frac{1}{2} x+8 =- \frac{1}{2} *4+8 = 6[/tex]

So x = 4 and y = 6

Hope that helps!

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