Intersection 4925

Determine the intersection of functions.
a) y = 2x + 3, y = -x + 4
b) y = 3x + 7, y = -2x-3

Correct answer:

x =  0.3333
y =  3.6667
X =  -2
Y =  1

Step-by-step explanation:


y=2x+3
y= -x+4

y=2·x+3
y= -x+4

2x-y = -3
x+y = 4

Row 2 - 1/2 · Row 1 → Row 2
2x-y = -3
1.5y = 5.5


y = 5.5/1.5 = 3.66666667
x = -3+y/2 = -3+3.66666667/2 = 0.33333333

x = 1/3 ≈ 0.333333
y = 11/3 ≈ 3.666667

Our linear equations calculator calculates it.

Y=3·X+7
Y= -2·X-3

3X-Y = -7
2X+Y = -3

Row 2 - 2/3 · Row 1 → Row 2
3X-Y = -7
1.67Y = 1.67


Y = 1.66666667/1.66666667 = 1
X = -7+Y/3 = -7+1/3 = -2

X = -2
Y = 1

Our linear equations calculator calculates it.

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