Question

Y= -3x +5 5x -4y = -3

Answer 1

Answer:

The solution of the system of equations is the point (1,2)

Step-by-step explanation:

It is required to solve the system of equations:

y= -3x + 5

5x - 4y = -3

So, substitute with y from the first equation at the second equation:

∴ 5x - 4(-3x + 5) = -3

Solve for x

∴ 5x + 12x - 20 = -3

∴ 17x = -3 +20 = 17

∴ x = 17/17 = 1

∴ y = -3 * 1 + 5 = -3 + 5 =2

So, the solution of the system of equations (1,2)

Another solution:

The give system of equations can be solved by graph both of them.

So, the solution will be the intersection between the lines.

See the attached figure.