Question

Given the system of linear equations.

Answer 1

Part(A):

To solve the system of Linear equations using Substitution:

$x+y=7 \\ 2x+y=5$

Consider the first equation, x+y=7 implies x=7-y

$\mathrm{Subsititute\:}x=7-y$

$2\left(7-y\right)+y=5$

$14-2y+y=5$

$14-y=5$

$\mathrm{Subtract\:}14\mathrm{\:from\:both\:sides}$

$14-y-14=5-14$

$-y=-9$

$\mathrm{Divide\:both\:sides\:by\:}-1$

$y=9$

$\mathrm{For\:}x=7-y$

$\mathrm{Subsititute\:}y=9$

$x=7-9=-2.$$\mathrm{The\:solutions\:to\:the\:system\:of\:equationts\:are:}$

$y=9,\:x=-2$

PArt(B): Use a graph to verify your answer to the system:

Using Desmos graphing calculator, graph the two equations.

Answer 2

Answer:

the answer is negative two

Step-by-step explanation: