Question

4x + y = 3 -2x + 3y = -19 what's the solution plz help

Answer 1

The solution to given system of equations is x = 2 and y = -5

Solution:

Given the system of equations are:

4x + y = 3 ---------- eqn 1

-2x + 3y = -19 ---------- eqn 2

We have to find the solution to above system of equations

We can solve the system by substitution method

From eqn 1,

4x + y = 3

Isolate y to one side

y = 3 - 4x ----------- eqn 3

Substitute eqn 3 in eqn 2

-2x + 3(3 - 4x) = -19

-2x + 9 - 12x = -19

Combine the like terms

-14x = -19 - 9

-14x = -28

Divide both sides of equation by -14

x = 2

Substitute x = 2 in eqn 3

y = 3 - 4(2)

y = 3 - 8

y = -5

Thus the solution is x = 2 and y = -5