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pychu [463]
3 years ago
9

Solve 7x+3y=8 and 4x-y=-9 simultaneously

Mathematics
1 answer:
Jobisdone [24]3 years ago
5 0

Answer: x = -1 and y = 5

Step-by-step explanation:

7x + 3y = 8 ........................... equation 1

4x - y = - 9 ............................ equation 2

Solving the simultaneous linear equation by substitution method , make y the subject of the formula from equation 2 , we have

y = 4x + 9 ............................. equation 3

substitute y = 4x + 9 into equation 1 , we have;

7x + 3 ( 4x + 9 ) = 8

7x + 12x + 27 = 8

19x + 27 = 8

subtract 27 from both sides

19x = -19

divide through by 19

x = -1

substitute x = -1 into equation 3 , we have

y = 4 ( -1) + 9

y = -4 + 9

y = 5

Therefore :

x = -1 and y = 5

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Solve a real world problem that can be represented by the expression (-3)(5)+10
vovikov84 [41]


Using PEMDAS you start with parenthesis

(-3)(5) = -3 x 5 = -15

-15 + 10 = -5

The answer is -5

6 0
3 years ago
the circle shown below is centered at the origin and contains the point (-4,-2). Which of the following is closest to the length
aniked [119]
We know the circle has its center at the origin, 0,0, and the point -4,-2 is on the circle, is just the distance from the center to a point on it, thus

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
%  (c,d)
&({{ -4}}\quad ,&{{ -2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
r=\sqrt{(-4-0)^2+(-2-0)^2}\implies r=\sqrt{(-4)^2+(-2)^2}
\\\\\\
r=\sqrt{16+4}\implies r=\sqrt{20}\implies r=\sqrt{4\cdot 5}\implies r=\sqrt{2^2\cdot 5}
\\\\\\
r=2\sqrt{5}
8 0
3 years ago
Read 2 more answers
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The answer is P because the line after it (Q) shows that the cyclist stopped travelling because the distance travelled amount didn’t change ☺️
7 0
2 years ago
A Question 2 (2 points) Retake question
Nataly [62]

Answer:

5 to 2

Step-by-step explanation:

you divide both numbers by 2

5 0
2 years ago
Find the measure of an angle whose measure is 18 degrees less than one-half of the measure of its complement.Find the measure of
tekilochka [14]
<span>a = (90-a)/2 - 18 

this means that the angle equals half its complement minus 18 degrees. 

this means the same as the angle equals 18 degrees less than half its complement. 

solve for a. 

equation is: 

a = (90-a)/2 - 18 

simplify by removing parentheses to get: 

a = 90/2 - a/2 - 18 

simplify further to get: 

a = 45 - a/2 - 18 

combine like terms to get: 


a = 27 - a/2 

add a/2 to both sides to get: 

a + a/2 = 27 

multiply both sides of the equation by 2 to get: 

2a + a = 54 

combine like terms to get 

3a = 54 

divide both sides of the equation by 3 to get: 

a = 18 

your answer should be that the angle is equal to 18 degrees. 

if the angle is 18 degrees, then its complement is equal to 90 - 18 = 72 degrees. 

half its complement is equal to half of 72 is equal to 36 degrees 

18 degrees less than that is equal to 36 - 18 is equal to 18 degrees. 

Your answer is that the measure of the angle is 18 degrees.</span>
4 0
3 years ago
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