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2 years ago

Solve using the elimination method x + 5y = 26 - X+ 7y = 22

Mathematics

2 answers:

olganol [36]2 years ago

6 0

Answer:

x = 6, y = 4

Step-by-step explanation:

x + 5y = 26

- x + 7y = 22

_________

0 + 12y = 48

12y = 48

y = 48 / 12

y = 4

Substitute y = 4 in eq. x + 5y = 26,

x + 5 ( 4 ) = 26

x + 20 = 26

x = 26 - 20

x = 6

S_A_V [24]2 years ago

5 0

Answer:

$x=6\\y=4$

Step-by-step explanation:

Elimination method:

$x+5y=26$

$-x+7y=22$

Add these equations to eliminate x:

$12y=48$

Then solve $12y=48$ for y:

$12y=48$

$y=48/12$

$y=4$

Write down an original equation:

$x+5y=26$

Substitute 4 for y in $x+5y=26$ :

$x+5(4)=26$

$x+20=26$

$x=26-20$

$x=6$

{ $x=6$ and $y=4$ } ⇒ $(6,4)$

hope this helps...

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Blake and James are planning to go on a trip. Blake already has some money saved. She earns $96 more by working overtime. James

rosijanka [135]

Blake saved $\bold{\$ 433.80}$

Option - A

SOLUTION:

Given, Blake and James are planning to go on a trip.

Blake already has some money saved.

Let the amount saved by Blake be $\$ n$ .

She earns $\$96$ more by working overtime.

Then, total amount by Blake $=\$(n+96)$

James has $\$ 53$ more than 4 times the amount of money that Blake has saved.

Then, total amount by James will be $\$ 53+4 \times \$ n=\$(4 n+53)$

If they have $\$2,318$ in all, we have to find how much money had Blake originally saved

Now, total amount = $\$2318$

$\begin{array}{l}{\rightarrow \text { Amount by Blake }+\text { amount by James }=2318} \\\\ {\rightarrow \mathrm{n}+96+4 \mathrm{n}+53=2318 \rightarrow 5 \mathrm{n}+149=2318 \rightarrow 5 \mathrm{n}=2318-149 \rightarrow 5 \mathrm{n}=2169 \rightarrow \mathrm{n}=433.8}\end{array}$