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Jet001 [13]
3 years ago
15

Solve the system of linear equations by graphing. x - 4y = -4 -3x – 4y = 12

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

We conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

Step-by-step explanation:

Please check the attached diagram.

In the attached diagram:

  • The red line represents the line x - 4y = -4
  • The blue line represents the line -3x – 4y = 12

From the diagram, we can easily identify that both lines meet or intersect at x = -4 and y = 0.

In other words, the point of intersection of the system of equations is:

(x, y) = (-4, 0)

We know that the point(s) of the intersection of the system of equations represents the solution of the system of equations.

Therefore, we conclude that the solution to the system of linear equations will be:

(x, y) = (-4, 0)

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ANEK [815]

Answer:

1)

32x^2 - 28x - 15

2)

30x^2 + 54x - 12

Step-by-step explanation:

1.

(8x+3)(4x-5)

Using FOIL

= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)

= 32x^2 - 40x + 12x - 15

= 32x^2 - 28x - 15

2.

(10x-2)(3x+6)

Using FOIL

= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)

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3 years ago
Determine the intercepts of the line. 4x-1=3y+54x−1=3y+54, x, minus, 1, equals, 3, y, plus, 5 xxx-intercept: \Big((left parenthe
earnstyle [38]

Answer:

The intercepts (x,y) = (\frac{3}{2},-2)

Step-by-step explanation:

Given:

4x-1=3y+5

Required

Determine the intercepts

The equation is a linear equation and the intercepts of the equation is calculated as thus;

For x intercepts; substitute 0 for y

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4x-1=0 + 5

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\frac{4x}{4} = \frac{6}{4}

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Simplify fraction to lowest term

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Reorder

y = -2

Hence, the intercepts (x,y) = (\frac{3}{2},-2)

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Step-by-step explanation:

Given expression:

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