Y = 4x - 7 is a line with a slope of 4 and y-intercept of -7.

plug in any X value, for example 1 and you get the following

y = 4(1) - 7

y = -3

(1,-3) is a point that satisfies the equation y = 4x - 7

3 0

2 years ago

5/6=x-10/3x+6 solution?

Ivan

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x = - 10}}}}}$

Step-by-step explanation:

$\sf{ \frac{5}{6} = \frac{x - 10}{3x + 6} }$

Apply cross product property

⇒ $\sf{5(3x + 6) = 6( x - 10)}$

Distribute 5 through the parentheses

⇒ $\sf{15x + 30 = 6( x - 10)}$

Distribute 6 through the parentheses

⇒ $\sf{15x + 30 = 6x - 60}$

Move 6x to left hand side and change it's sign

⇒ $\sf{15x - 6x + 30 = - 60}$

Collect like terms

⇒ $\sf{9x + 30 = - 60}$

Move 30 to right hand side and change it's sign

⇒ $\sf{9x = - 60 - 30}$

Calculate

⇒ $\sf{9x = - 90}$

Divide both sides of the equation by 9

⇒ $\sf{ \frac{9x}{9} = \frac{ - 90}{9} }$

Calculate

⇒ $\sf{x = - 10}$

Hope I helped!

Best regards!!

3 0

3 years ago