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2 years ago

Graph each equation. Determine the solution of the system of equations

Mathematics

1 answer:

ivann1987 [24]2 years ago

5 0

Answer:

Step-by-step explanation:

Explanation: Equation 1: 3 x − 2 y = 10 Equation 2 : 5 x + 2 y = 6 Both equations are in the standard form for a linear equation. This form makes it easy to determine the x- and y-intercepts. We can use those two points to graph each equation. X-intercept: value of x when y = 0 Substitute 0 for y and solve for x . Y-intercept: value of y when x = 0 Substitute 0 for x and solve for y . Equation 1 3 x − 2 y = 10 X-intercept: Substitute 0 for y and solve for x . 3 x − 2 ( 0 ) = 10 3 x = 10 Divide both sides by 3 . x = 10 3 or ≈ 3.333 x-intercept: ( 10 3 , 0 ) or ( ≈ 3.333 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 3 ( 0 ) − 2 y = 10 − 2 y = 10 Divide both sides by − 2 . y = 10 − 2 y = − 5 y-intercept: ( 0 , − 5 ) Plot this point. Draw a straight line through the two points. This is the graph for Equation 1. Equation 2 5 x + 2 y = 6 X-intercept: Substitute 0 for y and solve for x . 5 x + 2 ( 0 ) = 6 5 x = 6 Divide both sides by 5 . x = 6 5 or 1.2 x-intercept: ( 6 5 , 0 ) or ( 1.2 , 0 ) Plot this point. Y-intercept: Substitute 0 for x and solve for y . 5 ( 0 ) + 2 y = 6 2 y = 6 Divide both sides by 2 . y = 6 2 y = 3 y-intercept: ( 0 , 3 ) Plot this point. Draw a line between the two points. This is the graph of Equation 2. The lines intersect at a single point, therefore the system of equations is consistent. graph{(3x-2y-10)(5x+2y-6)=0 [-10, 10, -5, 5]}

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8 out of 40 fifth graders went to see the lab animal presentation. This can be written as this expression:

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I don’t know what some of that means but I can do the start for you? You rearrange
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To do this, you +y to both sides, giving you 2x=1+y and then you minus 1, giving you 2x-1=y

Which can be rewritten the other way round to make it slightly easier

y=2x-1

You also have y=5x-5

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To sketch these graphs I would do two tables.

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Y

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You may have noticed a pattern there, the y values increased by two each time. This makes it linear. You would plot that line, onto an axis, using the coordinates you now have.
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Then I would do the same for the second equation, and plot that too.

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You may have spotted this time the values increased by 5.

Then again plot this line using the coordinates shown.

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xz_007 [3.2K]

Answer:

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Step-by-step explanation:

The product is found using the distributive property.

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