The approximate solution of this system of equations is
(x,y)=(-0.25,1.25)
<h3>What is an equation?</h3>
Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account.
Given that,
y = |x − 1| and y = 3x+2
y = |x − 1|
= (x-1) , for (x-1)>0 or x>1
and
y = -(x-1) , for(x-1)<0 or x<1
y = -x+1
Now, For x>1
y = x-1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = x-1
→ 3x-x = -1-2
→ 2x = -3
→ x = -3/2
→ x = -1.5 which is <1.
For x<1
y = -x+1 ......(1)
y = 3x+2 ......(2)
Solving for x by equaliting's method:
3x+2 = -x+1
→ 3x+x = 1-2
→ 4x = -1
→ x = -1/4
→ x= -0.25 which is <1.
substitute the value of x = -0.25 in equation 1 for x<1.
y = -x+1
= -(-0.25)+1
y = 1.25
Hence, The approximate solution of this system of equations is
(x,y)=(-1/4,5/4)=(-0.25,1.25).
To learn more about equation from the given link:
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A) Slope: (y2 - y1) / (x2 - x1)
You can use point (-1, -6) and (0, -8)
Slope = (-8 - -6) /(0 - -1) = (-8+6)/(0+1) = -2/1 = -2.
Slope = -2.
b) Point (0, -8) is the point such that x = 0, and y = -8, this point represents the vertical intercept of the equation. The point where the line cuts the y axis.
Since this is a right triangle, use the Pythagorean Theorem to find c.
Pythagorean Theorem ⇒ a² + b² = c², where a and b are the legs and c is the hypotenuse.
Plug in 10 and 24 for the legs and c for the hypotenuse.
10² + 24² = c²
100 + 576 = 676
√676 = 26
c = 26
