so y=mx+b the 'm' part means the slope which is found by 'rise/run' a. y=2x+3 or y=2x+3 b. y=-1x+6 c. i'm not sure what this part means d. this means 'what values will work for x and y in both equations at once so y=-x+6 and y=2x+3 y=-x+6 add x to both sides x+y=6 subtitute 'y=2x+3' for y in x+y=6 x+(2x+3)=6 collect like terms 3x+3=6 subtract 3 from both sides 3x=3 divide both sides by 3 x=1 sibtitue into x+y=6 1+y=6 subtract 1 from both sides y=5
(1,5) is the solution (x,y)
Question 2 so amount of peanuts (x) =60% ammount of almonds (y)=40% y=2(1/3x) or y=2/3x so there is a mixture that is8/10 almonds for a. i'm not sure about this one b. so 60% of 5 pounds=3 pounds 40% of 5 pounds=2pounds we need to find out how many pounds, times 8/10, = 2pounds
she will need 2.5 pounds of the pure peanuts and 2.5 pounds of the almond-peanut mixture
To analyze linear equations, use the formula y = m x + b , where m denotes the slope and b is the y-intercept. Finding intersection points involves setting two equations equal and solving for x and then y . These concepts are essential for understanding real-world applications and complex mathematics.
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