thebetamale44
contestada

Brainliest to whoever can answer this question the best + 50 pts.
Solve the system of linear equations BY ELIMINATION. Show a step-by-step process.
3x - 2y = -2
5x - 3y = -4

Respuesta :

  • 3x-2y=-2--(1)
  • 5x-3y=-4--(2)

  • (1)×5 and (2)×3

[tex]\\ \tt\hookrightarrow 15x-10y=-10--(3)[/tex]

[tex]\\ \tt\hookrightarrow 15x-9y=-12--(4)[/tex]

Subtracting

[tex]\\ \tt\hookrightarrow -y=+2[/tex]

[tex]\\ \tt\hookrightarrow y=-2[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow 3x+4=-2[/tex]

[tex]\\ \tt\hookrightarrow x=-2[/tex]

fieryanswererft

Answer:

x = -2 and y = -2

Explanation:

Given equations:

3x - 2y = -2

5x - 3y = -4

---------------------

Make the value before y equal:

( 3x - 2y = -2 ) * 3

9x - 6y = -6 .........equation 1

( 5x - 3y = -4 ) * 2

10x - 6y = -8 ...........equation 2

solve them by elimination:

10x - 6y = -8

-9x + 6y = +6

----------------------

x = -2

If x is -2

Then y:

10x - 6y = -8 .................from equation 2

-6y = -8-10x

y = [-8 - 10(-2)]/-6

y = -2