Sagot :
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
[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!