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Solve the system below by the method of your choice. Show all work.

−4x+4y=−8

4x−6y=16

Sagot :

JunRR

Isolate one of the two variables in one of the equations.

How  to solve the system?

  • Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.
  • Determine which variable will be eliminated. ...
  • Combine the equations using addition. ...
  • Solve the new equation for the remaining variable.
  • Substitute the value for that variable into one of the original equations and solve.
  • Solve the linear equation for the remaining variable.The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers.
  • In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.

(- 2, - 4 )

- 4x + 4y = - 8 → (1)

4x - 6y = 16 → (2)

adding (1) and (2) term by term will eliminate x

0 - 2y = 8

- 2y = 8 ( divide both sides by - 2 )

y = - 4

substitute y = - 4 into either of the 2 equations and solve for x

substituting into (2)

4x - 6(- 4) = 16

4x + 24 = 16 ( subtract 24 from both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

solution is (- 2, - 4 )

To learn more about inequality refer to:

https://brainly.com/question/25275758

#SPJ1

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