SOLUTION: Solve the following equations. 1) 2x = 7x + 2 2x - 7x = 7x - 7x + 2 -5x = 2 x = -2/5 2) y/5 = 4 y/5 * 5 = 4 * 5 (Multiply both sides by 5) y = 20 3) x/2 - 3 = 4

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: Solve the following equations. 1) 2x = 7x + 2 2x - 7x = 7x - 7x + 2 -5x = 2 x = -2/5 2) y/5 = 4 y/5 * 5 = 4 * 5 (Multiply both sides by 5) y = 20 3) x/2 - 3 = 4       Log On

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Question 163505: Solve the following equations.
1) 2x = 7x + 2
2x - 7x = 7x - 7x + 2
-5x = 2
x = -2/5

2) y/5 = 4
y/5 * 5 = 4 * 5 (Multiply both sides by 5)
y = 20

3) x/2 - 3 = 4
x/2 - 3 + 3 = 4 + 3
x/2 = 7 (Multiply both sides by 2)
x = 14

4. OH NUTS! SELLS CASHEWS FOR $6.75 PER POUND AND BRAZIL NUTS FOR $5.00 PER POUND. HOW MUCH OF EACH TYPE SHOULD BE USED TO MAKE A 50lb MIXTURE THAT SELLS FOR $5.70 PER POUND?

5. Try 5x - 7y = 35
What are the x and y intercepts? Graph your answer use any method of your choice to solve.
Found 2 solutions by KnightOwlTutor, Fombitz:
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
The first three problems are correct.
4. x=# of pounds of cashews
50-x=# of pounds of brazil nuts.
5(50-x)+6.75x=5.70(50)
250-5x+6.75x=285
add the x terms to simplify
250+1.75x=285
Subtract 250 from both sides
1.75x=35
Divide both sides by 75
x=20
Let's check our answer
5(30)+6.75(20)=285
150+135=285
5x - 7y = 35
Subtract 5x from both sides
-7y=35-5x
Divide both sides by -7
y=-5+(5/7)x
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 5+x+%2B+-7+y+=+35 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-5%2F-7.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 35/5 = 7.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 35/-7 = -5.
  • Slope is -5/-7 = 0.714285714285714.
  • Equation in slope-intercept form: y=0.714285714285714*x+-5.
graph%28+500%2C+500%2C+7-8%2C+7%2B8%2C+-5-8%2C+-5%2B8%2C+0.714285714285714%2Ax%2B-5+%29+



the y intercept is (0,-5)
The x intercept is (0,7)



Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1. Correct
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2. Correct
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3. Correct
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4. Let's call pounds of cashews C, pounds of brazil nuts B.
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4a.C%2BB=50
4b.6.75%2AC%2B5.00%2AB=5.75%2A%28B%2BC%29
From eq. 4a, get an expression for C in terms of B.
4a.C%2BB=50
C=50-B
Now substitute that expression into eq. 4b and solve for B.
4b.6.75%2AC%2B5.00%2AB=5.75%2A%2850%29
6.75%2A%2850-B%29%2B5.00%2AB=5.75%2A%2850%29
337.50-6.75B%2B5.00B=287.50
-1.75B=-50
B=200%2F7
From eq. 4a,
4a.C%2BB=50
C%2B200%2F7=350%2F7
C=150%2F7
B=28.6 lbs, C=21.4 lbs.
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5.X-intercept : Let y=0 solve for x.
5x-7y=35
5x-7%280%29=35
5x=35
x=7
X-intercept:(7,0)
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Y-intercept : Let x=0 solve for y.
5x-7y=35
5%280%29-7y=35
-7y=35
y=-5
Y-intercept:(0,-5)
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Graph those two points.

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Now draw the line connecting those two points and extend the line to the edges of your graph.
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