Answer:
see explanation
Step-by-step explanation:
To find the intercepts, that is where the graph of the lines cross the x and y axes.
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
Consider each equation separately
2x + 5y = 10
x = 0 : 5y = 10 ⇒ y = 2 ⇒ (0, 2) ← y -intercept
y = 0 : 2x = 10 ⇒ x = 5 ⇒ (5, 0) ← x- intercept
2x + 3y = 6
x = 0 : 3y = 6 ⇒ y = 2 ⇒ (0, 2) ← y- intercept
y = 0 : 2x = 6 ⇒ x = 3 ⇒ (3, 0 ) ← x- intercept
The common solution is the y-intercept in both equations (0, 2 )
