Question

Solve for X and Y:41x-17y=99;17x-41y=75​

Answer 1

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Answer 2

Answer:

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

$y=-1,\:x=2$

Step-by-step explanation:

we need to find value of X and Y from two linear equations:

41x - 17y = 99;  17x - 41y = 75​

Solve linear equation by substitution,

$\mathrm{Isolate}\:x\:\mathrm{for}\:41x-17y=99$

$x=\frac{99+17y}{41}$

$\mathrm{Subsititute\:}x=\frac{99+17y}{41}$

$17\cdot \frac{99+17y}{41}-41y=75$

$\mathrm{Isolate}\:y\:\mathrm{for}\:17\frac{99+17y}{41}-41y=75$

$y=-1$

$\mathrm{For\:}x=\frac{99+17y}{41}$

$\mathrm{Subsititute\:}y=-1$

$x=\frac{99+17\left(-1\right)}{41}$

$\frac{99+17\left(-1\right)}{41}=2$

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

$y=-1,\:x=2$