Question

The coordinate grid shows points A through K Which points are solutions to the system of inequalities listed below

2x+y<10
2x-4y<8

Answer 1

Explanation:

Given the simultaneous inequality

2x+y<10 ....... 1

2x-4y<8 ....... 2

Subtract both equation from each other

(2x-2x)+(y-(-4y))<10-8

0+5y<2

y < 2/5

y < 0.4

Substitute the given value of y into 1;

2x+y<10

2x + 2/5 < 10

2x < 10 - 2/5

2x < 48/5

10x < 48

x < 4.8

Hence the solution to the inequality expressions is (4.8, 0.4)