Can someone help me please? I have 4 equations that need to be matched up to different graphs. I need to know how to work the equations so I can match them to the graphs.

6y>15-3x
5x-3<15
3x>=2y -x
y+x<=-3
If you can show me how to work htese i can then match them to the graph. Thank you so much!!!!!!

Sorry, we don't do graphs

I don't know what you mean by "matched up" to different graphs.

to graph an inequality, change your equation to the form y > mx + b
or y < mx + b, whichever way it turns out
for the first one it would be the region above the line y = mx + b
for the second case it would be the region below
y = mx + b
If you have ≥ or ≤ , then the line itself would be included.

first one:
6y > -3x + 15
y > -(1/2)x + 5/2

draw a dotted line for y = (-1/2)x + 5/2, then shade in the region above that dotted line.

Do the others the same way.
Are you missing a y term in the second equation?

To match the given equations to their corresponding graphs, we need to understand and work with each equation one by one. Let's go through them step by step:

Equation 1: 6y > 15 - 3x

To work with this equation, we need to isolate y on one side of the inequality. Follow these steps:

1. Subtract 15 from both sides: 6y - 15 > -3x
2. Divide both sides by 6: y > (-3x + 15)/6, which simplifies to y > (-1/2)x + 5/2.

Now you have the equation in slope-intercept form (y = mx + b), where m is the slope (-1/2) and b is the y-intercept (5/2).

Equation 2: 5x - 3 < 15

To isolate x in this equation, follow these steps:

1. Add 3 to both sides: 5x < 18
2. Divide both sides by 5: x < 18/5, which simplifies to x < 3.6.

So, the inequality tells us that x must be less than 3.6.

Equation 3: 3x >= 2y - x

To simplify this equation, let's combine like terms:

1. Add x to both sides: 3x + x >= 2y
2. Combine like terms: 4x >= 2y
3. Divide both sides by 2: 2x >= y

Now we have the equation in slope-intercept form. The slope is 2, and y-intercept is 0.

Equation 4: y + x <= -3

To work with this equation:

1. Subtract x from both sides: y <= -x - 3

This equation is already in slope-intercept form. The slope is -1, and the y-intercept is -3.

Now that we have simplified each equation, we are ready to match them with their graphs. Plot each equation on a graph and compare them to the given graphs. Match the equations based on the slopes, y-intercepts, and inequality signs to find the corresponding graphs.