How do you solve the system using elimination $x = - 4 y$ $x=-4y$ and $3 x + 5 y = - 11$ $3x+5y=-11$ ?

Question

How do you solve the system using elimination $x = - 4 y$ $x=-4y$ and $3 x + 5 y = - 11$ $3x+5y=-11$ ?

1 Answer

Impact of this question

1491 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-06-04T11:45:57

Given
[1] $XXXX$ $color(white)("XXXX")$ $x = - 4 y$ $x=-4y$
[2] $XXXX$ $color(white)("XXXX")$ $3 x + 5 y = - 11$ $3x+5y = -11$

Using [1] substitute $(- 4 y)$ $(-4y)$ for all occurrences of $x$ $x$ in [2]
[3] $XXXX$ $color(white)("XXXX")$ $3 (- 4 y) + 5 y = - 11$ $3(-4y) +5y = -11$
Simplifying
[4] $XXXX$ $color(white)("XXXX")$ $- 7 y = - 11$ $-7y = -11$
[5] $XXXX$ $color(white)("XXXX")$ $y = \frac{11}{7}$ $y = 11/7$

Substituting $\frac{11}{7}$ $11/7$ for $y$ $y$ back into [1]
[6] $XXXX$ $color(white)("XXXX")$ $x = - 4 (\frac{11}{7}) = 1 \frac{44}{7}$ $x = -4(11/7) = 1 44/7$

$(x, y) = (- \frac{44}{7}, \frac{11}{7})$ $(x,y) = (-44/7, 11/7)$

Science

Math

Humanities

... and beyond

How do you solve the system using elimination $x = - 4 y$ $x=-4y$ and $3 x + 5 y = - 11$ $3x+5y=-11$ ?

1 Answer

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you solve the system using elimination x=−4yx=-4y and 3x+5y=−113x+5y=-11?

1 Answer

Related questions

Impact of this question

How do you solve the system using elimination $x = - 4 y$ $x=-4y$ and $3 x + 5 y = - 11$ $3x+5y=-11$ ?