10. Which point is the solution for this System of equation?

Through substitution, you plug the second equation into the first equation, which would be: 2x + x - 3 = 3. Then combine like terms, which would be: 3x = 6. Divide both sides by 3 to get: x = 2. Now use this x-value in the first equation: 2 (2) + y = 3 ; 4 + y = 3. Now combine like terms, once again, to get y = -1. Therefore the solution to this system of equations is (2,-1) To verify, you will get 3 if you plug in the respective values in to the first equation.

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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