Graph the equations to solve the system y= 1/2x + 6 y = -1/2x + 4
1 answer:
Answer:
y=5, x=-2
Step-by-step explanation:
From the graph (attached), we can see that y=5, x=-2.
We can also solve system through algebra. (the easier and faster way)
y=1/2x+6
y=-1/2x+4
Substitute y with the first equation.
1/2x+6=-1/2x+4
1/2x+1/2x=4-6
x=-2
Then, substitute x with -2 in the equation.
y=1/2(-2)+6
y=-1+6
y=5
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Answer:
See explanation
Step-by-step explanation:
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Let the smaller number be x.
Given, the larger number is 7 times the smaller number.
So, the larger number = 7x.
Given, 3 times the larger number is 7 more than 4 times the smaller number.
So we can write the equation as,
Now we have to move 4x to the left side by subtracting 4x from both sides.
To get x, we will divide both sides by 17. We will get,
So the smaller number =
The larger number = =
So we have got the required numbers.
Smaller number = and larger number =
.