Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.14 each month. If they need a
2 answers:
You might be interested in
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒
"The sum of the numbers is 43"
⇒
<u>2) Use substitution to solve for the smaller number</u>
Plug the equation into the above equation
Subtract both sides by 7
Divide both sides by 3 to isolate x
Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>
Plug in x as 12
Subtract both sides by 12 to isolate y
Therefore, the greater number equates to 31.
I hope this helps!
Equations are given,
y= x+2
<span>
y= -4x+7
As you can see both the expressions, x+2 and -4x+7 are equal to "y". That means they are equal to each other too.
So let's equal them and solve it.
</span>
<span>
Now we have x's value we will plug it in the first equation to find "y".
</span>
<span>
(1,3)</span>
y= x+2
<span>
y= -4x+7
As you can see both the expressions, x+2 and -4x+7 are equal to "y". That means they are equal to each other too.
So let's equal them and solve it.
</span>
<span>
Now we have x's value we will plug it in the first equation to find "y".
</span>
<span>
(1,3)</span>