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Karolina [17]
2 years ago
14

Solve the simultaneous equations

Mathematics
2 answers:
almond37 [142]2 years ago
8 0

Answer:

x = -1, y = 2

Step-by-step explanation:

2y - 5x = 9

4y + 3x = 5

eliminate one of the variables by multiplying the equations and then adding them together.

3(2y - 5x = 9)

5(4y + 3x = 5)

6y - 15x = 27

20y + 15x = 25

26y = 52

y = 2

now input the value of y into one of the original equations to find x.

8 + 3x = 5

8-5 = 3

x = -1

NeTakaya2 years ago
4 0

Answer:

y = 2, x = -1

Step-by-step explanation:

2y - 5x = 9

2y = 9+5x

y = (9+5x) /2

4y + 3x = 5

4((9+5x) /2) + 3x = 5

13x + 18 = 5

13x = -13

x = -1

y = (9+5x) /2

y = (9+5(-1)) /2

y = 2

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A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write a
Stella [2.4K]

Answer:

g = 18p --- A

g = 10p ---- B

Step-by-step explanation:

Given

Package\ A: 18\ soda

Package\ B: 10\ soda

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

g = 18p

And the equation of B is:

g = 10p

4 0
3 years ago
Solve 12 + 5= 7.
marishachu [46]

Answer:

if you mean 12-5=12 this answer is x=144

here is the step by step explanation.

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/12-5-(7)=0

Step by step solution :

STEP

1

:

x

Simplify ——

12

Equation at the end of step

1

:

x

(—— - 5) - 7 = 0

12

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

5 5 • 12

5 = — = ——————

1 12

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (5 • 12) x - 60

———————————— = ——————

12 12

Equation at the end of step

2

:

(x - 60)

———————— - 7 = 0

12

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

7 7 • 12

7 = — = ——————

1 12

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-60) - (7 • 12) x - 144

————————————————— = ———————

12 12

Equation at the end of step

3

:

x - 144

——————— = 0

12

STEP

4

:

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-144

————— • 12 = 0 • 12

12

Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-144 = 0

Solving a Single Variable Equation :

4.2 Solve : x-144 = 0

Add 144 to both sides of the equation :

x = 144

One solution was found :

x = 144

4 0
3 years ago
Tonya drinks the recommended 8 cups of
Margarita [4]

Answer:

Step-by-step explanation:

6 0
3 years ago
Please please help!!!!
swat32
I think it’s 26 sorry if I’m wrong!
3 0
3 years ago
Read 2 more answers
Solve square root of x+3 = 2
devlian [24]
√x+3 = 2

First we should simplify the equation by squaring both sides:

x + 3 = 4

Isolate x by taking 3 off both sides:

x = 1

We should ALWAYS check that our answer is correct after working out the value of x. We can do this by substituting x into the original equation:

√x + 3 = 2

Turns into:

√1 + 3 = 2

Which turns into:

√4 = 2

Which is true, therefore we can confirm:

x = 1

5 0
3 years ago
Read 2 more answers
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