Question

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

Answer 1

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

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}`

Answer 2

Point Form:

(9,12)

Equation Form:

x = 9

y = 12

Explanation: