Mathematics, 05.04.2020 07:41 brooklynunderwood46

Which of these strategies would eliminate a variable in the system of equations?
( 10x + 4y = -2)
(5x-2y=2)
Choose all answers that apply:
Multiply the top equation by
then add the equations.
Multiply the bottom equation by 2. then subtract the bottom equation from the top equation.

Add the equations.

Answers: 2

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Answers

Answer from: mendezmarco2004

The value of x is 0.1 and y is -0.75, if the given equations are 10x+4y=-2 and 5x-2y=2 .

Step-by-step explanation:

The given is,

10x+4y=-2 .................................(1)

5x-2y=2 ..................................(2)

Step:1

Equation (2) is multiplied by -2 ( Eqn(2) × -2 )

-10x+4y=-4 ................................(3)

Step:2

Substrate the equation (1) and (3),

10x+4y=-2

-10x+4y=-4

( - )

(10x+10x)+(4y-4y)=(-2+4)

20x=2

$x=\frac{2}{20}$

= 0.1

x = 0.1

Step:3

Substitute the value of x in equation (1),

10x+4y=-2

Where, x = 0.1

(10)(0.1)+4y=-2

1+4y=-2

4y=-3

$y = - \frac{4}{3}$

y =- 0.75

Step:4

Check for solution,

5x-2y=2

(5)(0.1)-(2)(-0.75)=2

0.5+1.5=2

2 = 2

Result:

The value of x is 0.1 and y is -0.75, if the given equations are 10x+4y=-2 and 5x-2y=2 .

Answer from: Quest

step-by-step explanation:

Answer from: Quest

Step 1: 6x-10=1; step 2: 6x=11

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Which of these strategies would eliminate a variable in the system of equations?
( 10x + 4y =...