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dexar [7]
3 years ago
7

5x+y=23 2x+y=11 in elimination method

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0
Multiply the 2nd equation by -1 then add equations together
-1<span>(2x+y=11<span>)
</span></span>-2x - y = -11
(Adding will eliminate the Y)
3x = 12
------------------------------------
Divide each side by 3
3x ÷ 2 = 12 ÷ 3
x = 4
==================================================================
To find Y substitute 4 for x in 5x+y=<span>23
</span><span><span>(5)(4)</span>+y</span>=<span>23
</span>y+20=<span>23
</span>-----------------------------
Add -20 on each side
<span>y+20+-20</span>=<span>23+-20
</span>y = 3

Your answers are x = 4 and y = 3

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-| x-4| + 2 = -2x + 7
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Let's solve your equation step-by-step.

−

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x

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+

2

=

−

2

x

+

7

Step 1: Add -2 to both sides.

−

|

x

−

4

|

+

2

+

−

2

=

−

2

x

+

7

+

−

2

−

|

x

−

4

|

=

−

2

x

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5

Step 2: Divide both sides by -1.

−

|

x

−

4

|

−

1

=

−

2

x

+

5

−

1

|

x

−

4

|

=

2

x

−

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Step 3: Solve Absolute Value.

|

x

−

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|

=

2

x

−

5

We know either

x

−

4

=

2

x

−

5

or

x

−

4

=

−

(

2

x

−

5

)

x

−

4

=

2

x

−

5

(Possibility 1)

x

−

4

−

2

x

=

2

x

−

5

−

2

x

(Subtract 2x from both sides)

−

x

−

4

=

−

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−

x

−

4

+

4

=

−

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4

(Add 4 to both sides)

−

x

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−

1

−

x

−

1

=

−

1

−

1

(Divide both sides by -1)

x

=

1

x

−

4

=

−

(

2

x

−

5

)

(Possibility 2)

x

−

4

=

−

2

x

+

5

(Simplify both sides of the equation)

x

−

4

+

2

x

=

−

2

x

+

5

+

2

x

(Add 2x to both sides)

3

x

−

4

=

5

3

x

−

4

+

4

=

5

+

4

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3

x

=

9

3

x

3

=

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3

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x

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