-3x+4y=7 y=3x-5 I NEED HELP PL Z HELP ME

Mathematics

1 answer:

andrew-mc [135]2 years ago

3 0

$- 3x + 4y = 7 \\ y = 3x - 5$

[Substitute the given value of y into the first equation]

$- 3x + 4 \times (3x - 5) = 7$

[Distribute 4 through the parentheses]

$- 3x + 12x - 20 = 7$

[Collect like terms]

$9x - 20 = 7$

[Move the constant to the right-hand side and change its sign]

$9x = 7 + 20$

[Add the numbers]

$9x = 27$

[Divide both sides of the equation by 9]

$x = 3$

[Substitute the given value of x into the second equation]

$y = 3 \times 3 - 5$

[Multiply the numbers]

$y = 9 - 5$

[Subtract the numbers]

$y = 4$

[The possible solution of the system is the ordered pair (x,y)]

$(x,y)=(3,4)$

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B. Square

Step-by-step explanation:

When in doubt, it can help to plot the points on a graph.

By looking at the coordinate values, you see that the first two points have the same y-coordinate (0) and the other two points have the same y-coordinate (-4). These points are on horizontal lines that are 4 units apart.

Looking at the x-coordinates, you see that one pair of points has x-coordinates 4, and the other pair has x-coordinates 8. That is, these pairs of points are on vertical lines that are 4 units apart.

Vertical and horizontal lines are at right angles to each other. That means the figure must be a rectangle or square. The lengths of the sides are all 4 units, so the figure is a square.