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PLEASE HELP IM STRUGGLING

PLEASE HELP IM STRUGGLING class=

Sagot :

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Answer:

1)2x -y+2=0

2)-x +4y +8 = 0

Step-by-step explanation:

Here two equations are given to us and we need to write them in Standard form . The given equations are linear equation in two variables and their Standard form is ,

[tex]\implies ax + by + c = 0 [/tex]

  • Where a , b and c are constants .

1) y - 4 = -2(x +3)

Open the brackets on RHS ,

[tex]\implies y - 4 = -2x -6 [/tex]

Transpose all the terms to LHS ,

[tex]\implies 2x - y -4 +6 = 0[/tex]

Add the constant terms ,

[tex]\implies \boxed{ 2x - y +2 =0} [/tex]

Hence the equation in standard form is 2x -y +2=0.

2) y = ¼x -2

Add 2 on both sides ,

[tex]\implies y + 2 = \dfrac{1}{4}x [/tex]

Multiply both sides by 4 ,

[tex]\implies 4y +8 =x [/tex]

Subtract x on both sides,

[tex]\implies \boxed{ -x + 4y + 8 =0}[/tex]

Hence the equation in standard form is -x +4y +8=0 .

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