Solve the following systems by the substitution method 4x -y =3 2x + 3y = 19
1 answer:
If this is what you meant then follow these steps ↓
Your solutions ↓
Solution 1 → 4(x) - y = 3
Solution 2 → 2(x) + 3(y) = 19
Graphic Organizer ↓
Switch up the problem
y + 4(x) = 3
3(y) + 2(x) = 19
You might find the y-intercept in this step for solution 1. But we will see
y= 4(x) - 3
The y-intercept for solution 2
2(x) + 3(4)(x) - 3 = 19
14(x) = 28
From the looks of of it we haven't found y-intercept but we did find the x-intercept
14(x) = 28
14(2) = 28, right?
The answer is "yes"
So, x = 2
Let's try again to find the y-intercept
(y) = 4(2) - 3 = 5
y = 5
Answer:
x-intercept → 2
y-intercept → 5
Your solutions ↓
Solution 1 → 4(x) - y = 3
Solution 2 → 2(x) + 3(y) = 19
Graphic Organizer ↓
Switch up the problem
y + 4(x) = 3
3(y) + 2(x) = 19
You might find the y-intercept in this step for solution 1. But we will see
y= 4(x) - 3
The y-intercept for solution 2
2(x) + 3(4)(x) - 3 = 19
14(x) = 28
From the looks of of it we haven't found y-intercept but we did find the x-intercept
14(x) = 28
14(2) = 28, right?
The answer is "yes"
So, x = 2
Let's try again to find the y-intercept
(y) = 4(2) - 3 = 5
y = 5
Answer:
x-intercept → 2
y-intercept → 5
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Answer:
Let y represents the ounces of first spice.
From the given statements, we draw a table as shown below:
ounces of spice Percentage ounces of salt
First spice y 3% 0.03x
Second spice 175 6% 175(0.06)
Final mixture y + 175 5% (x+15)(0.05)
Now, to solve for y
we have;
Final spice = First spice + second spice
Subtract 10.5 on both sides we have;
Simplify:
Subtract 0.05y on both sides
Simplify:
Divide both sides by -0.02, we get;
Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt