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x+y=180
x=10y+48
(With Steps Plz)

Sagot :

Answer:

(168,12)

Step-by-step explanation:

Substitute x = 10y+48 in the first equation.

[tex]10y + 48 + y = 180 \\ 11y = 180 - 48 \\ 11y = 132 \\ y = \frac{132}{11} \\ y = 12[/tex]

We have got the y-value. Our next goal is to find the x-value by substituting y-value in any given equations.

For me, I will be substituting y = 12 in the first equation.

[tex]x + 12 = 180 \\ x = 180 - 12 \\ x = 168[/tex]

Answer Check

Substitute both x-value and y-value in both equations.

[tex]168 + 12 = 180 \\ 180 = 180[/tex]

Our first equation is true for both values.

[tex]168 = 10(12) + 48 \\ 168 = 120 + 48 \\ 168 = 168[/tex]

Our second equation is true for both values.

Thus, the answer is (168, 12)