Determine the coordinates of the point where the lines y = x + 3 and y = 7 - Maths - Simple Linear Equations

Question

Determine the coordinates of the point where the lines y =
x + 3 and y = 7 – x cross

Shruti Tyagi · Accepted Answer

Dear Student,

The given lines arey=x+3 and y=7-xTo find the point of intersection (where both lines cross)we need to solve the two equationshence y-x=3  --1y+x=7--2adding both equations we get2y=10⇒y=5putting value of y =5 in equation 15-x=3⇒x=5-3⇒x=2Hence required coordinates are x=2 and y=5

Regards,

Determine the coordinates of the point where the lines y = x + 3 and y = 7 – x cross.