Solve the inequality for x. 7x-26<-5(2-3x)
1 answer:
Answer:
Step-by-step explanation:
7x-26<-5(2-3x)
first write out the equation
7x-26<-10 +15x
then solve the -5(2-3x)
by multiplying -5 by 2 and -5 by 3x which will give the answer -10 and 15x
7x-15x<-10+26
Now put the numbers with X first and since we moved the (+15x) into the otherside we change its sign to (-15x)
and because we put the (-26) into the otherside we do the same thing and change it into (+26)
-8x<16
Now we combine the same numbers so 7x-15x and -10+26
Next we divide both sides by (-8)
so (-8x÷-8) and (16÷-8)
and because we divided with a negative number (-8)
and we have an inequality( < ) we flip the sign from smaller than to greater than.
and so the final answer is x>2
or x is greater than 2
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Answer:
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Step-by-step explanation:
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To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b
To get our equation to look like that we have to get y by itself
3x + 4y = 12
Subtract 3x from both sides
4y = -3x + 12
Divide both sides by 4
We now know the y-intercept is (0, 3)
Now we follow the slope to give us more points
More points are (4, 0), (8, -3), and (-4, 6)
The answer would be a graph that goes through those points.
Hope this helps!