solve for y: y + 8 = 2

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danuth28 danuth28 · Answer 1 · 2017-06-10T14:05:44+02:00

subtract 8 from both sides and calculate the problems of the right side to find Y
y= -8+2
y=-6

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johanrusli johanrusli · Answer 2 · 2019-07-20T06:41:13+02:00

Solution of y in equation y + 8 = 2 is -6

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

m → gradient of the line

( 0 , c ) → y - intercept

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

[tex]\large {m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

[tex]y - y_1 = m ( x - x_1 )[/tex]

Let us tackle the problem.

GIven :

[tex]y + 8 = 2[/tex]

[tex]y + 8 - 8 = 2 - 8[/tex] → subtract 8 for both sides

[tex]y + 0 = -6[/tex]

[tex]\large {\boxed {y = -6} }[/tex]

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point