Mathematics: X+y=24 75x+60y=1710 Solve using any method

1. 56 : 35 = 1.62. 1.6* 100 = 1603. The answer is 160...

X+y=24 75x+60y=1710 Solve using any method - id247560171015062429, rjone8429

Luzperez09

15.12.2021

$x=18,\:y=6$

Step-by-step explanation:

Solve by substitution

$\begin{bmatrix}x+y=24\\ 75x+60y=1710\end{bmatrix}$

$\mathrm{Substitute\:}x=24-y$

$\begin{bmatrix}75\left(24-y\right)+60y=1710\end{bmatrix}$

$\begin{bmatrix}1800-15y=1710\end{bmatrix}$

$\mathrm{For\:}x=24-y$

$\mathrm{Substitute\:}y=6$

x=24-6

x=18

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=18,\:y=6$

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