Answer:
Step-by-step explanation:
so we are looking for the x intercept (where the line crosses the x axis).
to do this, we sub in 0 for y and solve for x.
y = 1/2x + 4....sub in 0 for y
0 = 1/2x + 4
-1/2x = 4
x = 4 * -2
x = -8 <=== so it crosses the x axis at (-8,0)
Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve 
+ 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± 
/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±
/ 2 ⋅ 5
Simplify.
x = -2 ± 2 
/ 10
x = -1 ± / 5
Exact Form:
x = -1 ± / 5
<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
-------------------
12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
