In this item, we are given with a system of linear equation as written below.
y = 0.5x + 3.5
y = -2x/3 + 1/3
To determine the values of x and y, we use the substitution method. We substitute the expression for y from the first equation to that of the second equation so that the equation becomes.
0.5x + 3.5 = -2x/3 + 1/3
Multiply the equation by 6.
3x + 21 = -4x + 2
Transpose all the terms with variables to one side and the constants to the other.
(3x + 4x) = 2 - 21
7x = -19
Divide the equation by 7,
x = -19/7
The value of y,
y = (0.5)(-19/7) + 3.5 = 15/7
<em>ANSWER:</em>
<em> x = -19/7</em>
<em> y = 15/7</em>
The x and the y intercept are x = 1.5 and y = -3
<h3>How to determine the x and the y intercept?</h3>
The linear equation is given as:
y + 5 = 2(x + 1)
Set x to 0 to determine the y-intercept.
So, we have:
y + 5 = 2(0 + 1)
This gives
y + 5 = 2
Evaluate
y = -3
Set y to 0 to determine the x-intercept.
So, we have:
0 + 5 = 2(x + 1)
This gives
5 = 2(x + 1)
Evaluate
x = 1.5
Hence, the x and the y intercept are x = 1.5 and y = -3
Read more about intercepts at
brainly.com/question/24990033
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Answer:
40
Step-by-step explanation:
Yes, 60° is right.
Do you need me to explain why?
