What is the answer to this promblem

9514 1404 393

Step-by-step explanation:

Pick the variable you want to eliminate. Determine the coefficients of that variable in the two equations. Negate one of them. Multiply each equation by the coefficient that came from the other equation.

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To eliminate x

The x-coefficients are 4 and 3. If we negate 4, then the resulting y-coefficient will be positive. We choose to multiply the first equation by 3, the second by -4.

Here is the result of adding those:

  3(4x +5y) -4(3x -2y) = 3(7) -4(-12)   ⇒   23y = 69

To eliminate y

The y-coefficients are 5 and -2. If we negate -2, then the resulting x-coefficient will be positive. We choose to multiply the first equation by 2 and the second by 5.

Here is the result of adding those:

  2(4x +5y) +5(3x -2y) = 2(7) +5(-12)   ⇒   23x = -46

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is