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Bess [88]
3 years ago
14

Solve the system of linear equations by substitution

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

y - x = 0  ...equation 1
2x - 5y = 9 \: ...equation  \: 2
working with equation 1
y = x \: ...equation \:  3
next subsitue equation 3 in equation 1
2x - 5(x) = 9
2x - 5x = 9
- 3x = 9
divide by -3
x =  - 3
substitute x= -3 in equation 1
y - ( - 3) = 0
-(-3) = + 3
y =  - 3

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Find a number You can add to 6274 so you have to regroup ones,tens, and Hundreds
lana66690 [7]
May be it is adding 1000 is it a single number?

6274+1000= 7274 ?
7 0
3 years ago
Identify the factors of x2 − 4x − 21. (x − 7)(x 3) (x 7)(x − 3) (x 21)(x − 1) (x − 21)(x 1)
Tanzania [10]

The factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

A quadratic expression is of the form ax² + bx + c, which can be factorized using the mid-term factorization method, where b is shown as the sum or difference of two such numbers, whose product is equal to the product of a and c.

In the question, we are asked to factorize the quadratic expression, x² - 4x - 21.

In the given expression, a = 1, b = -4, and c = -21.

Thus, ac = -21.

The numbers having a product 21 are:

1*21 = 21,

3*7 = 21.

Since, 3 - 7 = -4 (That is b), we break b into 3 and -7.

Thus, the expression can now be shown as:

x² - 4x - 21

= x² + (3 - 7)x - 21

= x² + 3x - 7x - 21

= x(x + 3) - 7(x + 3) {By taking common}

= (x - 7)(x + 3) {By taking common}.

Thus, the factors of the quadratic expression x² - 4x - 21 is <u>(x - 7)(x + 3)</u>, making the <u>first option</u> the right choice.

Learn more about factorizing a quadratic expression at

brainly.com/question/52959

#SPJ1

5 0
1 year ago
Do you guys mind helping ?
Katyanochek1 [597]

Answer:

m = -7

Step-by-step explanation:

1) expand: 2/9m-16/9=2/3m+4/3

2) add 16/9 to both sides:

2/9m-16/9+16/9=2/3m+4/3+16/9

3) simplify: 2/9m=28/9+2/3m

4) subtract 2/3 m from both sides:

2/9m-2/3m= 28/9+2/3m-2/3m

5) simplify: -4/9m=28/9

6) m=-7

3 0
4 years ago
What is the quotient of 78.8/8
daser333 [38]
9.85 beause 78.8÷8 =9.85
6 0
3 years ago
Jess takes a board that is 50 inches long and cuts it into two pieces, one of which is 16 inches longer than the other. How long
sergey [27]
Let x = the length of the shorter piece
x+x+16=50in
2x=50-16
2x=34
x=17

Then

x+16=17+16
x+16=33
Subtract 16 from both sides

The lengths are 17in and 33in
3 0
3 years ago
Read 2 more answers
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