Answer:
(3,0.5)
Step-by-step explanation:
The given system has equations:
[tex]7x + 4y = 23 \\ 8x - 10y = 19[/tex]
Let us multiply the second equation by 4 and the first equation by 10.
[tex]70x + 40y = 230 \\ 32x - 40y = 76[/tex]
We add both new equations to get:
[tex]102x = 306 \\ x = \frac{306}{102} = 3[/tex]
Put x=3 into the first equation and solve for y.
[tex]7(3) + 4y = 23 \\ 21 + 4y = 23 \\ 4y = 23 - 21 \\ 4y = 2 \\ y = \frac{1}{2} [/tex]
The point of intersection is the solution to the system of equation which is (3,0.5)
