The solution of the linear equations will be ( -2, 4).
<h3>What is an equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
Given equations are:-
Solving the equations by elimination method:-
2x +3y = 8
3x+y= -2
Multiply the second equation by 3 and subtract from the first equation.
2x +3y = 8
-9x -3y = 6
----------------
-7x = 14
x = -2
Out of the value of x in any one equation, we will get the value of y.
3x+y= -2
3 ( -2) + y = -2
-6 + y = -2
y = 4
The graph of the equations is also attached with the answer below.
Therefore the solution of the linear equations will be ( -2, 4).
The complete question is given below:-
Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.
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5*1/5+1/5*15=4
1 + 3 =4
This should equal 4 if I did this correctly.
Multiply the numbers outside the square root together and the two square roots together to get a single term and simplify
Answer:
a) 35, b) 25, c) 60
Step-by-step explanation:
The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.
Number of boys: b
Number of girls: b + 10
Ratio of girls:boys is 7:5, so
"Cross multiply" to get
There are 25 boys. There are 10 more girls, so the number of girls is 35, and the total number of students is 60.
That's a packed classroom!
Answer:
2.5
Step-by-step explanation:
When a variable is next to a number (coefficient) it means you need to multiply. In this equation 6x are next to eachother.
Because we don't know what x is, we have to work backwards.
The opposite of multiplying is dividing, so here we can do...
15/6 and that equals 2.5
To check you replace x with 2.5 like so,
6(2.5)= 15 and it is true!
Hope this helps and have a great day!
