Solve using the addition method. what is the x-value of the solution to the system? 2x-3y=-1 3x+4y=24

x-value is 4

Step-by-step explanation:

2x-3y=-1

3x+4y=24

We can solve the equation by eliminating y

We multiply the first equation by 4 and the second by 3

4(2x-3y=-1 )

3(3x+4y=24)

8x -12y = -4

9x +12y = 72

Then we add the two equations;

8x -12y = -4

9x +12y = 72

17x = 68

  x = 4

Thus the x-value is 4

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

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step-by-step explanation: