Respuesta :

gmany

Answer:

(-4, 8) → x = -4 and y = 8

Step-by-step explanation:

We only need two points to plot the graph of each equation.

[tex]y=-\dfrac{3}{2}x+2\\\\for\ x=0\to y=-\dfrac{3}{2}(0)+2=0+2=2\to(0,\ 2)\\\\for\ x=2\to y=-\dfrac{3}{2}(2)+2=-3+2=-1\to(2,\ -1)\\\\y=5x+28\\\\for\ x=-4\to y=5(-4)+28=-20+28=8\to(-4,\ 8)\\\\for\ x=-6\to y=5(-6)+28=-30+28=-2\to(-6,\ -2)[/tex]

Look at the picture.

Read the coordinates of the intersection of the line (solution).

Ver imagen gmany

Answer:

(-4,8)

Step-by-step explanation:

Given system of equations,

[tex]y=-\frac{3}{2}x+2-----(1)[/tex]

[tex]y=5x+28------(2)[/tex]

In equation (1), If x = 0, y = 2,

If y = 0,

[tex]-\frac{3}{2}x+2=0\implies -\frac{3}{2}x=-2\implies -3x=-4\implies x=\frac{4}{3}[/tex]

Join the points (0,2) and (4/3,0) in the graph we get the line (1),

In equation (2), if x = 0, y = 28,

If y = 0,

[tex]5x+28=0\implies 5x=-28\implies x=-5.6[/tex]

Join the points (0, 28) and (-5.6,0) in the graph we get the line (2),

Hence, by graph,

The intersection point of line (1) and (2) is (-4,8)

Which is the required solution.

Ver imagen slicergiza

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