Question-
What is the solution of the system of equations? y=-4x+10 y=-2x-6
Answer-
y = -4x + 10
y = -2x - 6
-4x + 10 = -2x - 6
-4x + 2x = -6 - 10
-2x = -16
x = -16/-2
x = 8
y = -4x + 10
y = -4(8) + 10
y = -32 + 10
y = -22
solution is (8,-22)
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Step-by-step explanation:
Area is 12*5=60
Height is 4
Perimeter is 2*17=34
Surface area=120+136=256
Add the equations,just the way they appear there.
-- Add the top 'x' to the bottom 'x'. Write the sum under the 'x's.
-- Add the '+y' and the '-y'. Write the sum under the 'y's.
-- Add the '2' and the '4'. Write the sum under them, with n " = " sign
before it.
You should now have an equation with only 'x' in it and no 'y'.
You can easily solve that one and find out the value of 'x'.
Once you know the value of 'x', go back to either one of the original
equations, and plug the number-value of 'x' in place of 'x'.
You'll then have an equation with only 'y' in it and no 'x'.
You can easily solve that one and find out the value of 'y'.
<span>By similarity of triangles we have the following relationship:</span><span> </span><span> (y) / (12) = (37.5) / (20)</span><span> </span><span> Rewriting we have:</span>
<span> (y) = ((37.5) / (20)) * (12)</span>
<span> Simplifying we have:</span>
<span> y = (1,875) * (12)</span>
<span> Then, the value of y is:
</span><span>
</span><span><span> y = 22.5</span></span><span /><span /><span /><span><span> </span></span><span><span> Answer: </span></span><span><span>
</span></span><span><span><span><span> The value of y is:</span></span></span></span><span><span><span><span><span> </span></span></span></span></span><span><span><span><span><span> y = 22.5</span></span>
</span></span></span>
Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
