Solve the system of linear equations below. y = -2x + 19 y = x + 7

Mathematics

2 answers:

vfiekz [6]3 years ago

8 0

Answer:

A.) $x=4,y=11$

Step-by-step explanation:

Given Equations:

$y = -2x + 19$ Equation:1

$y = x + 7$ Equation:2

Solving Equation:2 for 'x'

$x=y-7$ Equation:3

Using Substitution method, Putting 'x' in Equation:1

$y = -2(y-7) + 19\\y=-2y+14+19\\y=-2y+33\\y+2y=33\\3y=33\\\\y=\frac{33}{3}\\\\ y=11$

Putting value of 'y' in Equation:3

$x=y-7$

$x=11-7$

$x=4$

$x=4,y=11$

olchik [2.2K]3 years ago

7 0

Answer:

a. x=4, y=11

Step-by-step explanation:

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