All categories

3 years ago

Solve the Simultaneous equations : x+y=5; x-y=1

Mathematics

1 answer:

earnstyle [38]3 years ago

5 0

Answer:

x=3 and y=2

Step-by-step explanation:

These equations line up quite nicely, so let's use the elimination method.

x+y=5

+ x-y=1

-------------

2x=6.

Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides

x=3.

Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.

3+y=5.

We subtract 3 from both sides to get y=2.

We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.

Have a nice day :)

You might be interested in

Sophia is saving up money to buy a car that costs ______

earnstyle [38]

Answer:

Step-by-step explanation:

12 years, 10 months

7 0

3 years ago

Help me to take this

ryzh [129]

Step-by-step explanation:

$\int \bigg( - \frac{2}{7} {x}^{3} - 4 {x}^{4} - 2x \bigg)dx \\ \\ = - \frac{2}{7}\int {x}^{3}dx - 4 \int {x}^{4}dx - 2\int x dx \\ \\ = - \frac{2}{7} \times \frac{ {x}^{4} }{4} - 4 \times \frac{ {x}^{5} }{5} - 2 \times \frac{ {x}^{2} }{2} + c \\ \\ = - \frac{{x}^{4} }{14} - \frac{4}{5} {x}^{5} - {x}^{2} + c \\$

6 0

3 years ago

The constant of proportionality has the same value as the unit rate true or false?

Dennis_Churaev [7]

Answer:

True they represent the same thing

5 0

3 years ago

Read 2 more answers

You need $3,000 to buy a new stereo for your car. If you have $1,200 to invest at

DiKsa [7]

Answer:

15 years and 8 months

Step-by-step explanation:

I used the formula for compound interest as shown below and solved for the unknown, time.

Since our interest is compounded annually (So once a year) our m value is 1.

3 0

3 years ago

Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds, which are more risky, ear

sergij07 [2.7K]

If you have $5000 and you invest $2000 in a certificate of deposit, you have $3000 invested in the bonds. Each earns an annual interest of 6% and 8%, respectively. The total interest is shown below,
($2000) x 0.06 + ($3000) x 0.08 = $360
Thus, the amount of the total interest is $360.

6 0

3 years ago

Solve the Simultaneous equations : x+y=5; x-y=1​

Solve the Simultaneous equations : x+y=5; x-y=1