The obtained two numbers by substitution method are 5 and 12.
<h3>What is substitution method?</h3>
The algebraic method for solving simultaneous linear equations is the substitution method.
- The value of one variable through one equation is substituted in the second equation, as the name implies.
- To verify an equation system by substitution, enter your x and y values into the initial equations.
- Your answer is accurate if both simplification expressions are true.
Let the first number be 'x'.
Let the second number be 'y'
From the given condition that second number is 3 times 1 less than the first number.
That is;
y = 3(x - 1)
Now the sum of both number are given as 17.
x + y = 17.
Use substitution method, and put the value of y in the total sum.
x + y = 17.
x + 3(x - 1) = 17
Simplify the given equation;
x + 3x - 3 = 17
4x = 17 + 3
4x = 20
x = 5 (first number)
Put the value of x in y to find the value.
y = 3(x - 1)
y = 3(5 - 1)
y = 12 (second number)
Therefore, the values of two numbers are 5 and 12.
To know more about the substitution method, here
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35 x 8 = 280
64 x 2 = 128
71 x 5 = 355
53 x 9 = 477
92 x 8 = 736
And that’s all I can clearly see
<span>-3x+2y=5
Add 3x to both sides
2y= 3x + 5
Divide both sides by 2 so that the only thing remaining is the variable y.
Final Answer: y= 3/2x + 5/2</span>
Answer:
D
Step-by-step explanation:
First, put the equation 2x + y = 4 into mx + b = y form.
2x + y = 4
-2x -2x
y = -2x + 4
Since your m is -2, the slope is suppose to be negative. So you can cancel out choices A and B. (They show a positive slope.)
Since your y is positive 4, look on the graph the has a line going through positive 4 on the y-axis.
D is your answer.