How do you solve the following system?: $- \frac{1}{2} x + 5 y = - 20, - x + 6 y = 7$ $-1/2x+5y=-20 , -x+6y=7$

Question

How do you solve the following system?: $- \frac{1}{2} x + 5 y = - 20, - x + 6 y = 7$ $-1/2x+5y=-20 , -x+6y=7$

1 Answer

Impact of this question

1484 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-11-28T04:07:40

Answer: $(- \frac{155}{2}, - \frac{47}{2})$ $(-155/2 , -47/2)$

Explanation:

Equation 1: $- \frac{1}{2} x + 5 y = - 20$ $-1/2 x + 5y = -20$

Equation 2: $- x + 6 y = 7$ $-x + 6y = 7$

Multiply equation 1 by $- 2$ $-2$ to eliminate fraction
$- 2 [- \frac{1}{2} x + 5 y = - 20}] \Leftrightarrow$ $-2[-1/2x +5y =-20}] hArr$ $x - 10 y = 40$ $color(red)(x -10y = 40)$

Take equation 2, solve for $x$ $x$

$- x + 6 y = 7 \Leftrightarrow 6 y - 7 = x$ $-x+6y = 7 hArr color(red)(6y-7=x)$

Substitute $6 y - 7 = x$ $color(red)(6y-7=x)$ into first equation

$6 y - 7 - 10 y = 40$ $color(red)(6y-7)-10y = 40$

$- 4 y = 47$ $-4y= 47$

$y = - \frac{47}{4}$ $color(blue)(y= -47/4)$

Substitute
$6 (- \frac{47}{4}) - 7 = x$ $6(-47/4)-7= x$

$- \frac{141}{2} - \frac{14}{2} = x$ $-141/2 -14/2 = x$

$- \frac{155}{2} = x$ $color(blue)(-155/2 = x)$

Science

Math

Humanities

... and beyond

How do you solve the following system?: $- \frac{1}{2} x + 5 y = - 20, - x + 6 y = 7$ $-1/2x+5y=-20 , -x+6y=7$

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the following system?: −12x+5y=−20,−x+6y=7-1/2x+5y=-20 , -x+6y=7

1 Answer

Explanation:

Related questions

Impact of this question

How do you solve the following system?: $- \frac{1}{2} x + 5 y = - 20, - x + 6 y = 7$ $-1/2x+5y=-20 , -x+6y=7$