Answer:
the required answers are :
c) x = 2
d) x = 27 / 7
e) x = 9
f ) x = 6
Step-by-step explanation:
for explanation see the attached image
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What is the y-coordinate of the solution of the system of equations?
1 answer:
The given system of equations is :
y=2x+14 ...(1)
−4x−y=4 ... (2)
We can solve the above system of equation by method of substitution. Frm equation (1) we have y=2x+14. So, first step is to substitute 2x+14 for y in equation (2). Hence,
-4x - (2x + 14) = 4
-4x - 2x - 14 = 4
- 6x -14 = 4 By combining the like terms.
-6x - 14 + 14 = 4 + 14 Add 14 to each sides of the equation.
- 6x = 18
Divide each sides -6.
x = -3.
Next step is to plug in x=-3 in equation (1) to get the value of y. Therefore,
y = 2(-3) + 14
= -6 +14
= 8
So, y=8.
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3,000 is 10 times as much as
3000 = 10 times of what number
We need to find 10 times what number gives us 3000
Let the unknown number be x
3000 = 10 times x
3000 = 10x
To solve for x, we divide by 10 on both sides
300 = x
So, the unknown number is 300
3000 = 10 times 300
3000 is 10 times as much as 300