A nickel has the monetary worth of $0.05
A half-dollar has the monetary worth of $0.50
0.50/0.05 = 10
you will need 10 nickels to have the same monetary worth as a half dollar
hope this helps
If we multiply the ratio
... 25 g : 1 cm
by 5, we get
... 125 g : 5 cm
The number on the left is 75 g more than 50 g.
Let's solve your system by substitution.
3x−2y=−12;4x+5y=7
Step: Solve3x−2y=−12for x:
3x−2y=−12
3x−2y+2y=−12+2y(Add 2y to both sides)
<u>3x</u>= <u>2y−12
</u>
3 3
=
<u>2y−12
</u>
3
(Divide both sides by 3)
x=
<u>2
</u>
3 y−4
Step: Substitute
<u>2
</u>
3
y−4 for x in 4x+5y=7:
4x+5y=7
4(
2/3 y−4)+5y=7
<u>23
</u>
3
y−16=7(Simplify both sides of the equation)
<u>23</u>
3
y−16+16=7+16(Add 16 to both sides)
<u>23</u>
3
y=23
<u>23</u>
3 y
<u>23
</u>
3 = 23<u>
</u>
<u>23
</u>
3
(Divide both sides by 23/3)
y=3
Step: Substitute 3 for y in x=
<u> 2 </u>
3
y−4:
x=
<u> 2 </u>
3
y−4
x= <u> 2 </u>
3
(3)−4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=3 (underlined and / are fractions or division)
Answer:
x = 3
y = -2
Step-by-step explanation:
x + 2y = -1
2x – 3y =12
Using substitution means that in one equation you solve for a variable. In this case, the first equation would be easier to solve for x since there are no coefficients.
x = -2y - 1
Now, we plug in the value of x into the second equation, and solve for y.
2 (-2y - 1) - 3y = 12
-4y - 2 - 3y = 12
-7y - 2 = 12
-7y = 14
y = -2
Since we have a numerical value of y, we can use it to solve for x by plugging it into one of the original equations.
x + 2(-2) = -1
x - 4 = - 1
x = 3
If you'd like to check the answer, plug in both values you got to the original equations!
I hope this helps!
