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german
3 years ago
15

Given the system of linear equations.

Mathematics
2 answers:
Degger [83]3 years ago
8 0

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.

Vitek1552 [10]3 years ago
5 0

Answer:

the answer is negative two

Step-by-step explanation:

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