Question

Solve the System of Equations
-5x+4y=3
x=2y-15

Answer 1

Answer:

Point Form:

(9,12)

Equation Form:

x = 9

y = 12

Step-by-step explanation:

Answer 2

Answer:

$\fbox{x = 9, y = 12}$

Step-by-step explanation:

$\textsf {Let's solve by substitution.}$

$\rightarrow \mathsf {-5x + 4y = 3}\\\rightarrow \mathsf {x = 2y - 15}$

$\textsf {Substitute for x in the first equation of the system.}$

$\implies \mathsf {-5(2y-15)+4y=3}$

$\implies \mathsf {-10y+75+4y=3}$

$\implies \mathsf {-6y=-72}$

$\implies \textbf {y = 12}$

$\implies \mathsf {x = 2(12) - 15}$

$\implies \mathbf {x = 9}$

$\textsf {The solution is : x = 9, y = 12}$